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Fair value of financial instruments - Carrying or notional amounts and estimated fair values for financial instruments (Details) - USD ($)
$ in Thousands
Jun. 30, 2023
Dec. 31, 2022
Jun. 30, 2022
Dec. 31, 2021
Financial Assets:        
Cash and due from banks $ 476,642 $ 469,501    
Money market investments 8,593,476 5,614,595    
Debt securities available-for-sale 17,242,217 17,804,374    
Debt securities held-to-maturity 8,404,421 8,518,455    
Equity securities:        
Equity securities, at lower of cost or realizable value 192,373 195,854    
Loans held in portfolio 32,330,722 31,357,467    
Mortgage servicing rights 121,249 128,350 $ 129,877 $ 121,570
Deposits        
Time deposits 8,001,851 6,781,401    
Deposits 64,004,818 61,227,227    
Assets sold under agreements to repurchase 123,205 148,609    
Other short-term borrowings 0 365,000    
Notes payable:        
Notes payable 1,304,049 886,710    
US Treasury Securities        
Financial Assets:        
Debt securities available-for-sale 10,967,982 11,180,948    
Debt securities held-to-maturity 8,336,569 8,453,467    
Obligations of Puerto Rico, States and political subdivisions        
Financial Assets:        
Debt securities held-to-maturity 60,326 59,010    
Collateralized Mortgage Obligations - Federal agencies        
Financial Assets:        
Debt securities available-for-sale 148,052 165,196    
Debt securities held-to-maturity 1,566 19    
Securities in wholly owned statutory business trusts        
Financial Assets:        
Debt securities held-to-maturity 5,960 5,959    
Other        
Financial Assets:        
Debt securities available-for-sale 1,033 1,060    
Carrying amount        
Financial Assets:        
Cash and due from banks 476,642 469,501    
Money market investments 8,593,476 5,614,595    
Trading account debt securities, excluding derivatives 29,035 27,723    
Debt securities available-for-sale 17,242,217 17,804,374    
Debt securities held-to-maturity 8,404,421 8,518,455    
Equity securities:        
FHLB stock 50,357 65,861    
FRB stock 100,267 96,206    
Other investments 41,749 33,787    
Equity securities, at lower of cost or realizable value 192,373 195,854    
Loans held-for-sale 55,421 5,381    
Loans held in portfolio 32,330,722 31,357,467    
Mortgage servicing rights 121,249 128,350    
Derivatives 24,346 19,229    
Deposits        
Demand deposits 56,002,966 54,445,825    
Time deposits 8,001,852 6,781,402    
Deposits 64,004,818 61,227,227    
Assets sold under agreements to repurchase 123,205 148,609    
Other short-term borrowings   365,000    
Notes payable:        
FHLB advances 412,632 389,282    
Unsecured senior debt securities 693,085 299,109    
Junior subordinated deferrable interest debentures (related to trust preferred securities) 198,332 198,319    
Notes payable 1,304,049 886,710    
Derivatives 21,575 17,000    
Carrying amount | US Treasury Securities        
Financial Assets:        
Debt securities held-to-maturity 8,336,569 8,453,467    
Carrying amount | Obligations of Puerto Rico, States and political subdivisions        
Financial Assets:        
Debt securities held-to-maturity 60,326 59,010    
Carrying amount | Collateralized Mortgage Obligations - Federal agencies        
Financial Assets:        
Debt securities held-to-maturity 1,566 19    
Carrying amount | Securities in wholly owned statutory business trusts        
Financial Assets:        
Debt securities held-to-maturity 5,960 5,959    
Fair Value        
Financial Assets:        
Cash and due from banks 476,642 469,501    
Money market investments 8,593,476 5,614,595    
Trading account debt securities, excluding derivatives 29,035 27,723    
Debt securities available-for-sale 17,242,217 17,804,374    
Debt securities held-to-maturity 8,274,950 8,440,196    
Equity securities:        
FHLB stock 50,357 65,861    
FRB stock 100,267 96,206    
Other investments 42,615 34,598    
Equity securities, at lower of cost or realizable value 193,239 196,665    
Loans held-for-sale 55,421 5,404    
Loans held in portfolio 30,758,440 29,366,365    
Mortgage servicing rights 121,249 128,350    
Derivatives 24,346 19,229    
Deposits        
Demand deposits 56,002,966 54,445,825    
Time deposits 7,655,442 6,464,943    
Deposits 63,658,408 60,910,768    
Assets sold under agreements to repurchase 123,185 148,566    
Other short-term borrowings   365,000    
Notes payable:        
FHLB advances 388,283 361,951    
Unsecured senior debt securities 696,103 300,027    
Junior subordinated deferrable interest debentures (related to trust preferred securities) 169,879 173,938    
Notes payable 1,254,265 835,916    
Derivatives 21,575 17,000    
Fair Value | US Treasury Securities        
Financial Assets:        
Debt securities held-to-maturity 8,206,858 8,372,601    
Fair Value | Obligations of Puerto Rico, States and political subdivisions        
Financial Assets:        
Debt securities held-to-maturity 60,676 61,617    
Fair Value | Collateralized Mortgage Obligations - Federal agencies        
Financial Assets:        
Debt securities held-to-maturity 1,456 19    
Fair Value | Securities in wholly owned statutory business trusts        
Financial Assets:        
Debt securities held-to-maturity 5,960 5,959    
Fair Value | Level 1        
Financial Assets:        
Cash and due from banks 476,642 469,501    
Money market investments 8,587,418 5,607,937    
Trading account debt securities, excluding derivatives 13,338 13,069    
Debt securities available-for-sale 2,854,502 1,908,589    
Debt securities held-to-maturity 0 0    
Equity securities:        
FHLB stock 0 0    
FRB stock 0 0    
Other investments 0 0    
Equity securities, at lower of cost or realizable value 0 0    
Loans held-for-sale 0 0    
Loans held in portfolio 0 0    
Mortgage servicing rights 0 0    
Derivatives 0 0    
Deposits        
Demand deposits 0 0    
Time deposits 0 0    
Deposits 0 0    
Assets sold under agreements to repurchase 0 0    
Other short-term borrowings   0    
Notes payable:        
FHLB advances 0 0    
Unsecured senior debt securities 0 0    
Junior subordinated deferrable interest debentures (related to trust preferred securities) 0 0    
Notes payable 0 0    
Derivatives 0 0    
Fair Value | Level 1 | US Treasury Securities        
Financial Assets:        
Debt securities held-to-maturity 0 0    
Fair Value | Level 1 | Obligations of Puerto Rico, States and political subdivisions        
Financial Assets:        
Debt securities held-to-maturity 0 0    
Fair Value | Level 1 | Collateralized Mortgage Obligations - Federal agencies        
Financial Assets:        
Debt securities held-to-maturity 0 0    
Fair Value | Level 1 | Securities in wholly owned statutory business trusts        
Financial Assets:        
Debt securities held-to-maturity 0 0    
Fair Value | Level 2        
Financial Assets:        
Cash and due from banks 0 0    
Money market investments 6,058 6,658    
Trading account debt securities, excluding derivatives 15,287 14,119    
Debt securities available-for-sale 14,386,060 15,894,074    
Debt securities held-to-maturity 8,214,258 8,378,560    
Equity securities:        
FHLB stock 50,357 65,861    
FRB stock 100,267 96,206    
Other investments 35,541 29,302    
Equity securities, at lower of cost or realizable value 186,165 191,369    
Loans held-for-sale 55,421 0    
Loans held in portfolio 0 0    
Mortgage servicing rights 0 0    
Derivatives 24,346 19,229    
Deposits        
Demand deposits 56,002,966 54,445,825    
Time deposits 7,655,442 6,464,943    
Deposits 63,658,408 60,910,768    
Assets sold under agreements to repurchase 123,185 148,566    
Other short-term borrowings   365,000    
Notes payable:        
FHLB advances 388,283 361,951    
Unsecured senior debt securities 696,103 300,027    
Junior subordinated deferrable interest debentures (related to trust preferred securities) 169,879 173,938    
Notes payable 1,254,265 835,916    
Derivatives 21,575 17,000    
Fair Value | Level 2 | US Treasury Securities        
Financial Assets:        
Debt securities held-to-maturity 8,206,858 8,372,601    
Fair Value | Level 2 | Obligations of Puerto Rico, States and political subdivisions        
Financial Assets:        
Debt securities held-to-maturity 0 0    
Fair Value | Level 2 | Collateralized Mortgage Obligations - Federal agencies        
Financial Assets:        
Debt securities held-to-maturity 1,440 0    
Fair Value | Level 2 | Securities in wholly owned statutory business trusts        
Financial Assets:        
Debt securities held-to-maturity 5,960 5,959    
Fair Value | Level 3        
Financial Assets:        
Cash and due from banks 0 0    
Money market investments 0 0    
Trading account debt securities, excluding derivatives 410 535    
Debt securities available-for-sale 1,655 1,711    
Debt securities held-to-maturity 60,692 61,636    
Equity securities:        
FHLB stock 0 0    
FRB stock 0 0    
Other investments 6,771 4,966    
Equity securities, at lower of cost or realizable value 6,771 4,966    
Loans held-for-sale 0 5,404    
Loans held in portfolio 30,758,440 29,366,365    
Mortgage servicing rights 121,249 128,350    
Derivatives 0 0    
Deposits        
Demand deposits 0 0    
Time deposits 0 0    
Deposits 0 0    
Assets sold under agreements to repurchase 0 0    
Other short-term borrowings   0    
Notes payable:        
FHLB advances 0 0    
Unsecured senior debt securities 0 0    
Junior subordinated deferrable interest debentures (related to trust preferred securities) 0 0    
Notes payable 0 0    
Derivatives 0 0    
Fair Value | Level 3 | US Treasury Securities        
Financial Assets:        
Debt securities held-to-maturity 0 0    
Fair Value | Level 3 | Obligations of Puerto Rico, States and political subdivisions        
Financial Assets:        
Debt securities held-to-maturity 60,676 61,617    
Fair Value | Level 3 | Collateralized Mortgage Obligations - Federal agencies        
Financial Assets:        
Debt securities held-to-maturity 16 19    
Fair Value | Level 3 | Securities in wholly owned statutory business trusts        
Financial Assets:        
Debt securities held-to-maturity 0 0    
Fair Value | NAV        
Financial Assets:        
Cash and due from banks 0 0    
Money market investments 0 0    
Trading account debt securities, excluding derivatives 0 0    
Debt securities available-for-sale 0 0    
Debt securities held-to-maturity 0 0    
Equity securities:        
FHLB stock 0 0    
FRB stock 0 0    
Other investments 303 330    
Equity securities, at lower of cost or realizable value 303 330    
Loans held-for-sale 0 0    
Loans held in portfolio 0 0    
Mortgage servicing rights 0 0    
Derivatives 0 0    
Deposits        
Demand deposits 0 0    
Time deposits 0 0    
Deposits 0 0    
Assets sold under agreements to repurchase 0 0    
Other short-term borrowings   0    
Notes payable:        
FHLB advances 0 0    
Unsecured senior debt securities 0 0    
Junior subordinated deferrable interest debentures (related to trust preferred securities) 0 0    
Notes payable 0 0    
Derivatives 0 0    
Fair Value | NAV | US Treasury Securities        
Financial Assets:        
Debt securities held-to-maturity 0 0    
Fair Value | NAV | Obligations of Puerto Rico, States and political subdivisions        
Financial Assets:        
Debt securities held-to-maturity 0 0    
Fair Value | NAV | Collateralized Mortgage Obligations - Federal agencies        
Financial Assets:        
Debt securities held-to-maturity 0 0    
Fair Value | NAV | Securities in wholly owned statutory business trusts        
Financial Assets:        
Debt securities held-to-maturity $ 0 $ 0