13089641797521 has 27 divisors (see below), whose sum is σ = 19955068410459. Its totient is φ = 8267011941312.

The previous prime is 13089641797511. The next prime is 13089641797553. The reversal of 13089641797521 is 12579714698031.

The square root of 13089641797521 is 3617961.

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

13089641797521 is a `hidden beast` number, since 1 + 3 + 0 + 8 + 9 + 6 + 4 + 17 + 97 + 521 = 666.

It can be written as a sum of positive squares in only one way, i.e., 3063147534225 + 10026494263296 = 1750185^2 + 3166464^2 .

It is not a de Polignac number, because 13089641797521 - 2⁵ = 13089641797489 is a prime.

It is not an unprimeable number, because it can be changed into a prime (13089641797511) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 206192041 + ... + 206255513.

It is a 2-persistent number, because it is pandigital, and so is 2⋅13089641797521 = 26179283595042, but 3⋅13089641797521 = 39268925392563 is not.

Almost surely, 2^{13089641797521} is an apocalyptic number.

13089641797521 is the 3617961-st square number.

13089641797521 is the 1808981-st centered octagonal number.

It is an amenable number.

13089641797521 is a deficient number, since it is larger than the sum of its proper divisors (6865426612938).

13089641797521 is an frugal number, since it uses more digits than its factorization.

13089641797521 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 126990 (or 63495 counting only the distinct ones).

The product of its (nonzero) digits is 22861440, while the sum is 63.

The spelling of 13089641797521 in words is "thirteen trillion, eighty-nine billion, six hundred forty-one million, seven hundred ninety-seven thousand, five hundred twenty-one".