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Fair value measurement - Assets and liabilities measured at fair value on a recurring basis (Details) - USD ($) $ in Thousands	Sep. 30, 2024	Dec. 31, 2023	Sep. 30, 2023	Dec. 31, 2022
Assets
Debt securities available-for-sale	$ 17,186,123	$ 16,729,044
Mortgage servicing rights	108,827	118,109	$ 119,030	$ 128,350
US Treasury Securities
Assets
Debt securities available-for-sale	11,524,430	10,747,061
Collateralized Mortgage Obligations - Federal agencies
Assets
Debt securities available-for-sale	128,553	134,686
Mortgage Backed Securities - federal agencies
Assets
Debt securities available-for-sale	5,531,140	5,844,786
Other
Assets
Debt securities available-for-sale	2,000	2,511
Recurring
Assets
Debt securities available-for-sale	17,186,123	16,729,044
Trading account debt securities, excluding derivatives	30,836	31,568
Equity securities at fair value	46,633	38,275
Mortgage servicing rights	108,827	118,109
Loans held-for-sale	5,509	3,239
Derivatives	25,941	24,419
Total assets measured at fair value on recurring /nonrecurring basis	17,403,869	16,944,654
Liabilities
Derivatives	(23,608)	(21,103)
Total	(23,608)	(21,103)
Recurring \| US Treasury Securities
Assets
Debt securities available-for-sale	11,524,430	10,747,061
Trading account debt securities, excluding derivatives	7,685	16,859
Recurring \| Obligations of Puerto Rico, States and political subdivisions
Assets
Trading account debt securities, excluding derivatives	58	71
Recurring \| Collateralized Mortgage Obligations - Federal agencies
Assets
Debt securities available-for-sale	128,553	134,686
Recurring \| CMO
Assets
Trading account debt securities, excluding derivatives	132	98
Recurring \| Mortgage Backed Securities - federal agencies
Assets
Debt securities available-for-sale	5,531,140	5,844,786
Trading account debt securities, excluding derivatives	22,807	14,373
Recurring \| Other
Assets
Debt securities available-for-sale	2,000	2,511
Trading account debt securities, excluding derivatives	154	167
Recurring \| Level 1
Assets
Debt securities available-for-sale	5,879,911	3,936,036
Trading account debt securities, excluding derivatives	7,675	16,859
Equity securities at fair value	0	0
Mortgage servicing rights	0	0
Loans held-for-sale	0	0
Derivatives	0	0
Total assets measured at fair value on recurring /nonrecurring basis	5,887,586	3,952,895
Liabilities
Derivatives	0	0
Total	0	0
Recurring \| Level 1 \| US Treasury Securities
Assets
Debt securities available-for-sale	5,879,911	3,936,036
Trading account debt securities, excluding derivatives	7,675	16,859
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 - federal agencies
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	11,303,654	12,789,902
Trading account debt securities, excluding derivatives	22,923	14,425
Equity securities at fair value	46,248	37,965
Mortgage servicing rights	0	0
Loans held-for-sale	5,509	3,239
Derivatives	25,941	24,419
Total assets measured at fair value on recurring /nonrecurring basis	11,404,275	12,869,950
Liabilities
Derivatives	(23,608)	(21,103)
Total	(23,608)	(21,103)
Recurring \| Level 2 \| US Treasury Securities
Assets
Debt securities available-for-sale	5,644,519	6,811,025
Trading account debt securities, excluding derivatives	10	0
Recurring \| Level 2 \| Obligations of Puerto Rico, States and political subdivisions
Assets
Trading account debt securities, excluding derivatives	58	71
Recurring \| Level 2 \| Collateralized Mortgage Obligations - Federal agencies
Assets
Debt securities available-for-sale	128,553	134,686
Recurring \| Level 2 \| CMO
Assets
Trading account debt securities, excluding derivatives	132	93
Recurring \| Level 2 \| Mortgage Backed Securities - federal agencies
Assets
Debt securities available-for-sale	5,530,582	5,844,180
Trading account debt securities, excluding derivatives	22,723	14,261
Recurring \| Level 2 \| Other
Assets
Debt securities available-for-sale	0	11
Trading account debt securities, excluding derivatives	0	0
Recurring \| Level 3
Assets
Debt securities available-for-sale	2,558	3,106
Trading account debt securities, excluding derivatives	238	284
Equity securities at fair value	0	0
Mortgage servicing rights	108,827	118,109
Loans held-for-sale	0	0
Derivatives	0	0
Total assets measured at fair value on recurring /nonrecurring basis	111,623	121,499
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	0	5	10
Recurring \| Level 3 \| Mortgage Backed Securities - federal agencies
Assets
Debt securities available-for-sale	558	606
Trading account debt securities, excluding derivatives	84	112
Recurring \| Level 3 \| Other
Assets
Debt securities available-for-sale	2,000	2,500
Trading account debt securities, excluding derivatives	154	167	$ 188
Recurring \| NAV
Assets
Debt securities available-for-sale	0	0
Trading account debt securities, excluding derivatives	0	0
Equity securities at fair value	385	310
Mortgage servicing rights	0	0
Loans held-for-sale	0	0
Derivatives	0	0
Total assets measured at fair value on recurring /nonrecurring basis	385	310
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 - federal agencies
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