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5257682867525 = 5211229142941941
BaseRepresentation
bin100110010000010011001…
…0100011101010101000101
3200121121222221220002110112
41030200212110131111011
51142120213303230100
615103202434402405
71051566165665444
oct114404624352505
920547887802415
105257682867525
111747852a02900
1270ab83430405
132c1a49a7a2ca
1414268a6acd5b
1591b6ec90b35
hex4c82651d545

5257682867525 has 72 divisors (see below), whose sum is σ = 7418562551400. Its totient is φ = 3689243712000.

The previous prime is 5257682867513. The next prime is 5257682867531.

5257682867525 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in 12 ways, for example, as 4221615387649 + 1036067479876 = 2054657^2 + 1017874^2 .

It is a de Polignac number, because none of the positive numbers 2k-5257682867525 is a prime.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 125338055 + ... + 125379995.

Almost surely, 25257682867525 is an apocalyptic number.

5257682867525 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

It is an amenable number.

5257682867525 is a deficient number, since it is larger than the sum of its proper divisors (2160879683875).

5257682867525 is a wasteful number, since it uses less digits than its factorization.

5257682867525 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 43431 (or 43415 counting only the distinct ones).

The product of its digits is 564480000, while the sum is 68.

The spelling of 5257682867525 in words is "five trillion, two hundred fifty-seven billion, six hundred eighty-two million, eight hundred sixty-seven thousand, five hundred twenty-five".

Divisors: 1 5 11 25 29 55 121 145 275 319 605 725 1429 1595 3025 3509 7145 7975 15719 17545 35725 41441 41941 78595 87725 172909 207205 209705 392975 455851 461351 864545 1036025 1048525 1216289 2279255 2306755 4322725 5014361 5074861 6081445 11396275 11533775 13379179 25071805 25374305 30407225 59933689 66895895 125359025 126871525 147170969 299668445 334479475 659270579 735854845 1498342225 1738076981 3296352895 3679274225 7251976369 8690384905 16481764475 19118846791 36259881845 43451924525 95594233955 181299409225 210307314701 477971169775 1051536573505 5257682867525