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13157559202225 = 52271226772
BaseRepresentation
bin1011111101110111101110…
…1001000111000110110001
31201120211221220221022011211
42333131323221013012301
53211033140123432400
643552255501040121
72525413403621164
oct277357351070661
951524856838154
1013157559202225
1142130a9175409
121586033b56041
137459a23536a9
14336b876d9adb
1517c3d1bdedba
hexbf77ba471b1

13157559202225 has 27 divisors (see below), whose sum is σ = 16381919402721. Its totient is φ = 10483288336800.

The previous prime is 13157559202201. The next prime is 13157559202273. The reversal of 13157559202225 is 52220295575131.

The square root of 13157559202225 is 3627335.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 6646202588529 + 6511356613696 = 2578023^2 + 2551736^2 .

It is not a de Polignac number, because 13157559202225 - 213 = 13157559194033 is a prime.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 4915037587 + ... + 4915040263.

Almost surely, 213157559202225 is an apocalyptic number.

13157559202225 is the 3627335-th square number.

13157559202225 is the 1813668-th centered octagonal number.

It is an amenable number.

13157559202225 is a deficient number, since it is larger than the sum of its proper divisors (3224360200496).

13157559202225 is an frugal number, since it uses more digits than its factorization.

13157559202225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5906 (or 2953 counting only the distinct ones).

The product of its (nonzero) digits is 1890000, while the sum is 49.

Multiplying 13157559202225 by its sum of digits (49), we get a square (644720400909025 = 253913452).

The spelling of 13157559202225 in words is "thirteen trillion, one hundred fifty-seven billion, five hundred fifty-nine million, two hundred two thousand, two hundred twenty-five".

Divisors: 1 5 25 271 1355 2677 6775 13385 66925 73441 367205 725467 1836025 3627335 7166329 18136675 35831645 179158225 196601557 983007785 1942075159 4915038925 9710375795 48551878975 526302368089 2631511840445 13157559202225