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Fair value measurement - Assets and liabilities measured at fair value on a recurring basis (Details) - USD ($) $ in Thousands	Jun. 30, 2023	Dec. 31, 2022	Jun. 30, 2022	Dec. 31, 2021
Assets
Debt securities available-for-sale	$ 17,242,217	$ 17,804,374
Mortgage servicing rights	121,249	128,350	$ 129,877	$ 121,570
US Treasury Securities
Assets
Debt securities available-for-sale	10,967,982	11,180,948
Collateralized Mortgage Obligations - Federal agencies
Assets
Debt securities available-for-sale	148,052	165,196
Mortgage Backed Securities
Assets
Debt securities available-for-sale	6,125,150	6,457,170
Other
Assets
Debt securities available-for-sale	1,033	1,060
Recurring
Assets
Debt securities available-for-sale	17,242,217	17,804,374
Trading account debt securities, excluding derivatives	29,035	27,723
Equity securities at fair value	35,844	29,632
Mortgage servicing rights	121,249	128,350
Loans held-for-sale	9,509
Derivatives	24,346	19,229
Total assets measured at fair value on recurring /nonrecurring basis	17,462,200	18,009,308
Liabilities
Derivatives	(21,575)	(17,000)
Total	(21,575)	(17,000)
Recurring \| US Treasury Securities
Assets
Debt securities available-for-sale	10,967,982	11,180,948
Trading account debt securities, excluding derivatives	13,338	13,069
Recurring \| Obligations of Puerto Rico, States and political subdivisions
Assets
Trading account debt securities, excluding derivatives	61	64
Recurring \| Collateralized Mortgage Obligations - Federal agencies
Assets
Debt securities available-for-sale	148,052	165,196
Recurring \| CMO
Assets
Trading account debt securities, excluding derivatives	98	160
Recurring \| Mortgage Backed Securities
Assets
Debt securities available-for-sale	6,125,150	6,457,170
Trading account debt securities, excluding derivatives	15,347	14,223
Recurring \| Other
Assets
Debt securities available-for-sale	1,033	1,060
Trading account debt securities, excluding derivatives	191	207
Recurring \| Level 1
Assets
Debt securities available-for-sale	2,854,502	1,908,589
Trading account debt securities, excluding derivatives	13,338	13,069
Equity securities at fair value	0	0
Mortgage servicing rights	0	0
Loans held-for-sale	0
Derivatives	0	0
Total assets measured at fair value on recurring /nonrecurring basis	2,867,840	1,921,658
Liabilities
Derivatives	0	0
Total	0	0
Recurring \| Level 1 \| US Treasury Securities
Assets
Debt securities available-for-sale	2,854,502	1,908,589
Trading account debt securities, excluding derivatives	13,338	13,069
Recurring \| Level 1 \| Obligations of Puerto Rico, States and political subdivisions
Assets
Trading account debt securities, excluding derivatives	0	0
Recurring \| Level 1 \| Collateralized Mortgage Obligations - Federal agencies
Assets
Debt securities available-for-sale	0	0
Recurring \| Level 1 \| CMO
Assets
Trading account debt securities, excluding derivatives	0	0
Recurring \| Level 1 \| Mortgage Backed Securities
Assets
Debt securities available-for-sale	0	0
Trading account debt securities, excluding derivatives	0	0
Recurring \| Level 1 \| Other
Assets
Debt securities available-for-sale	0	0
Trading account debt securities, excluding derivatives	0	0
Recurring \| Level 2
Assets
Debt securities available-for-sale	14,386,060	15,894,074
Trading account debt securities, excluding derivatives	15,287	14,119
Equity securities at fair value	35,541	29,302
Mortgage servicing rights	0	0
Loans held-for-sale	9,509
Derivatives	24,346	19,229
Total assets measured at fair value on recurring /nonrecurring basis	14,470,743	15,956,724
Liabilities
Derivatives	(21,575)	(17,000)
Total	(21,575)	(17,000)
Recurring \| Level 2 \| US Treasury Securities
Assets
Debt securities available-for-sale	8,113,480	9,272,359
Trading account debt securities, excluding derivatives	0	0
Recurring \| Level 2 \| Obligations of Puerto Rico, States and political subdivisions
Assets
Trading account debt securities, excluding derivatives	61	64
Recurring \| Level 2 \| Collateralized Mortgage Obligations - Federal agencies
Assets
Debt securities available-for-sale	148,052	165,196
Recurring \| Level 2 \| CMO
Assets
Trading account debt securities, excluding derivatives	42	47
Recurring \| Level 2 \| Mortgage Backed Securities
Assets
Debt securities available-for-sale	6,124,495	6,456,459
Trading account debt securities, excluding derivatives	15,184	14,008
Recurring \| Level 2 \| Other
Assets
Debt securities available-for-sale	33	60
Trading account debt securities, excluding derivatives	0	0
Recurring \| Level 3
Assets
Debt securities available-for-sale	1,655	1,711
Trading account debt securities, excluding derivatives	410	535
Equity securities at fair value	0	0
Mortgage servicing rights	121,249	128,350
Loans held-for-sale	0
Derivatives	0	0
Total assets measured at fair value on recurring /nonrecurring basis	123,314	130,596
Liabilities
Derivatives	0	0
Total	0	0
Recurring \| Level 3 \| US Treasury Securities
Assets
Debt securities available-for-sale	0	0
Trading account debt securities, excluding derivatives	0	0
Recurring \| Level 3 \| Obligations of Puerto Rico, States and political subdivisions
Assets
Trading account debt securities, excluding derivatives	0	0
Recurring \| Level 3 \| Collateralized Mortgage Obligations - Federal agencies
Assets
Debt securities available-for-sale	0	0
Recurring \| Level 3 \| CMO
Assets
Trading account debt securities, excluding derivatives	56	113	152
Recurring \| Level 3 \| Mortgage Backed Securities
Assets
Debt securities available-for-sale	655	711
Trading account debt securities, excluding derivatives	163	215
Recurring \| Level 3 \| Other
Assets
Debt securities available-for-sale	1,000	1,000
Trading account debt securities, excluding derivatives	191	207	$ 264
Recurring \| NAV
Assets
Debt securities available-for-sale	0	0
Trading account debt securities, excluding derivatives	0	0
Equity securities at fair value	303	330
Mortgage servicing rights	0	0
Loans held-for-sale	0
Derivatives	0	0
Total assets measured at fair value on recurring /nonrecurring basis	303	330
Liabilities
Derivatives	0	0
Total	0	0
Recurring \| NAV \| US Treasury Securities
Assets
Debt securities available-for-sale	0	0
Trading account debt securities, excluding derivatives	0	0
Recurring \| NAV \| Obligations of Puerto Rico, States and political subdivisions
Assets
Trading account debt securities, excluding derivatives	0	0
Recurring \| NAV \| Collateralized Mortgage Obligations - Federal agencies
Assets
Debt securities available-for-sale	0	0
Recurring \| NAV \| CMO
Assets
Trading account debt securities, excluding derivatives	0	0
Recurring \| NAV \| Mortgage Backed Securities
Assets
Debt securities available-for-sale	0	0
Trading account debt securities, excluding derivatives	0	0
Recurring \| NAV \| Other
Assets
Debt securities available-for-sale	0	0
Trading account debt securities, excluding derivatives	$ 0	$ 0