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Fair value of financial instruments - Carrying or notional amounts and estimated fair values for financial instruments (Details) - USD ($)
$ in Thousands
Mar. 31, 2021
Dec. 31, 2020
Mar. 31, 2020
Dec. 31, 2019
Financial Assets:        
Cash and due from banks $ 495,915 $ 491,065    
Money market investments 11,568,677 11,640,880    
Debt Securities Available for sale, at fair value 22,771,609 21,561,152    
Debt securities held-to-maturity, net 79,629 82,360    
Equity securities:        
Equity securities 178,650 173,737    
Loans held in portfolio, net 28,330,831 28,488,946    
Mortgage servicing rights 122,543 118,395 $ 147,311 $ 150,906
Deposits        
Time deposits 7,256,521 7,307,848    
Total deposits 58,742,801 56,866,340    
Assets sold under agreements to repurchase 86,834 121,303    
Notes payable:        
Notes payable 1,224,230 1,224,981    
Obligations of Puerto Rico, States and political subdivisions        
Financial Assets:        
Debt securities held-to-maturity, net 68,037 70,768    
Collateralized Mortgage Obligations - Federal agencies        
Financial Assets:        
Debt Securities Available for sale, at fair value 337,964 392,132    
Debt securities held-to-maturity, net 31 31    
Securities in wholly owned statutory business trusts        
Financial Assets:        
Debt securities held-to-maturity, net 11,561 11,561    
Other        
Financial Assets:        
Debt Securities Available for sale, at fair value 204 235    
Carrying amount        
Financial Assets:        
Cash and due from banks 495,915 491,065    
Money market investments 11,568,677 11,640,880    
Trading account debt securities, excluding derivatives 36,504 36,674    
Debt Securities Available for sale, at fair value 22,771,609 21,561,152    
Debt securities held-to-maturity, net 79,629 82,360    
Equity securities:        
FHLB Stock 50,554 49,799    
FRB stock 93,522 93,045    
Other investments 34,574 30,893    
Equity securities 178,650 173,737    
Loans held-for-sale 84,214 99,455    
Loans held in portfolio, net 28,330,831 28,488,946    
Mortgage servicing rights 122,543 118,395    
Derivatives 20,971 20,785    
Deposits        
Demand deposits 51,486,280 49,558,492    
Time deposits 7,256,521 7,307,848    
Total deposits 58,742,801 56,866,340    
Assets sold under agreements to repurchase 86,834 121,303    
Notes payable:        
Advances with the FHLB 541,469 542,469    
Unsecured senior debt securities 296,891 296,574    
Junior Subordinated Debenture Owed To Unconsolidated Subsidiary Trust 384,936 384,929    
FRB advances 934 1,009    
Notes payable 1,224,230 1,224,981    
Derivatives 17,851 18,925    
Carrying amount | Obligations of Puerto Rico, States and political subdivisions        
Financial Assets:        
Debt securities held-to-maturity, net 68,037 70,768    
Carrying amount | Collateralized Mortgage Obligations - Federal agencies        
Financial Assets:        
Debt securities held-to-maturity, net 31 31    
Carrying amount | Securities in wholly owned statutory business trusts        
Financial Assets:        
Debt securities held-to-maturity, net 11,561 11,561    
Fair Value        
Financial Assets:        
Cash and due from banks 495,915 491,065    
Money market investments 11,568,677 11,640,880    
Trading account debt securities, excluding derivatives 36,504 36,674    
Debt Securities Available for sale, at fair value 22,771,609 21,561,152    
Debt securities held-to-maturity, net 92,643 94,891    
Equity securities:        
FHLB Stock 50,554 49,799    
FRB stock 93,522 93,045    
Other investments 34,924 31,085    
Equity securities 179,000 173,929    
Loans held-for-sale 84,608 102,189    
Loans held in portfolio, net 27,285,789 27,098,297    
Mortgage servicing rights 122,543 118,395    
Derivatives 20,971 20,785    
Deposits        
Demand deposits 51,486,280 49,558,492    
Time deposits 7,234,844 7,319,963    
Total deposits 58,721,124 56,878,455    
Assets sold under agreements to repurchase 86,816 121,257    
Notes payable:        
Advances with the FHLB 551,151 561,977    
Unsecured senior debt securities 324,342 321,078    
Junior Subordinated Debenture Owed To Unconsolidated Subsidiary Trust 385,792 395,078    
FRB advances 934 1,009    
Notes payable 1,262,219 1,279,142    
Derivatives 17,851 18,925    
Fair Value | Obligations of Puerto Rico, States and political subdivisions        
Financial Assets:        
Debt securities held-to-maturity, net 81,050 83,298    
Fair Value | Collateralized Mortgage Obligations - Federal agencies        
Financial Assets:        
Debt securities held-to-maturity, net 32 32    
Fair Value | Securities in wholly owned statutory business trusts        
Financial Assets:        
Debt securities held-to-maturity, net 11,561 11,561    
Fair Value | Level 1        
Financial Assets:        
Cash and due from banks 495,915 491,065    
Money market investments 11,562,567 11,634,851    
Trading account debt securities, excluding derivatives 11,620 11,506    
Debt Securities Available for sale, at fair value 0 3,499,781    
Debt securities held-to-maturity, net 0 0    
Equity securities:        
FHLB Stock 0 0    
FRB stock 0 0    
Other investments 0 0    
Equity securities 0 0    
Loans held-for-sale 0 0    
Loans held in portfolio, net 0 0    
Mortgage servicing rights 0 0    
Derivatives 0 0    
Deposits        
Demand deposits 0 0    
Time deposits 0 0    
Total deposits 0 0    
Assets sold under agreements to repurchase 0 0    
Notes payable:        
Advances with the FHLB 0 0    
Unsecured senior debt securities 0 0    
Junior Subordinated Debenture Owed To Unconsolidated Subsidiary Trust 0 0    
FRB advances 0 0    
Notes payable 0 0    
Derivatives 0 0    
Fair Value | Level 1 | Obligations of Puerto Rico, States and political subdivisions        
Financial Assets:        
Debt securities held-to-maturity, net 0 0    
Fair Value | Level 1 | Collateralized Mortgage Obligations - Federal agencies        
Financial Assets:        
Debt securities held-to-maturity, net 0 0    
Fair Value | Level 1 | Securities in wholly owned statutory business trusts        
Financial Assets:        
Debt securities held-to-maturity, net 0 0    
Fair Value | Level 2        
Financial Assets:        
Cash and due from banks 0 0    
Money market investments 6,110 6,029    
Trading account debt securities, excluding derivatives 24,261 24,509    
Debt Securities Available for sale, at fair value 22,770,675 18,060,357    
Debt securities held-to-maturity, net 11,561 11,561    
Equity securities:        
FHLB Stock 50,554 49,799    
FRB stock 93,522 93,045    
Other investments 31,787 29,590    
Equity securities 175,863 172,434    
Loans held-for-sale 0 0    
Loans held in portfolio, net 0 0    
Mortgage servicing rights 0 0    
Derivatives 20,971 20,785    
Deposits        
Demand deposits 51,486,280 49,558,492    
Time deposits 7,234,844 7,319,963    
Total deposits 58,721,124 56,878,455    
Assets sold under agreements to repurchase 86,816 121,257    
Notes payable:        
Advances with the FHLB 551,151 561,977    
Unsecured senior debt securities 324,342 321,078    
Junior Subordinated Debenture Owed To Unconsolidated Subsidiary Trust 385,792 395,078    
FRB advances 934 1,009    
Notes payable 1,262,219 1,279,142    
Derivatives 17,851 18,925    
Fair Value | Level 2 | Obligations of Puerto Rico, States and political subdivisions        
Financial Assets:        
Debt securities held-to-maturity, net 0 0    
Fair Value | Level 2 | Collateralized Mortgage Obligations - Federal agencies        
Financial Assets:        
Debt securities held-to-maturity, net 0 0    
Fair Value | Level 2 | Securities in wholly owned statutory business trusts        
Financial Assets:        
Debt securities held-to-maturity, net 11,561 11,561    
Fair Value | Level 3        
Financial Assets:        
Cash and due from banks 0 0    
Money market investments 0 0    
Trading account debt securities, excluding derivatives 623 659    
Debt Securities Available for sale, at fair value 934 1,014    
Debt securities held-to-maturity, net 81,082 83,330    
Equity securities:        
FHLB Stock 0 0    
FRB stock 0 0    
Other investments 3,137 1,495    
Equity securities 3,137 1,495    
Loans held-for-sale 84,608 102,189    
Loans held in portfolio, net 27,285,789 27,098,297    
Mortgage servicing rights 122,543 118,395    
Derivatives 0 0    
Deposits        
Demand deposits 0 0    
Time deposits 0 0    
Total deposits 0 0    
Assets sold under agreements to repurchase 0 0    
Notes payable:        
Advances with the FHLB 0 0    
Unsecured senior debt securities 0 0    
Junior Subordinated Debenture Owed To Unconsolidated Subsidiary Trust 0 0    
FRB advances 0 0    
Notes payable 0 0    
Derivatives 0 0    
Fair Value | Level 3 | Obligations of Puerto Rico, States and political subdivisions        
Financial Assets:        
Debt securities held-to-maturity, net 81,050 83,298    
Fair Value | Level 3 | Collateralized Mortgage Obligations - Federal agencies        
Financial Assets:        
Debt securities held-to-maturity, net 32 32    
Fair Value | Level 3 | Securities in wholly owned statutory business trusts        
Financial Assets:        
Debt securities held-to-maturity, net $ 0 $ 0