13252956292521 has 81 divisors (see below), whose sum is σ = 21260764517629. Its totient is φ = 7949310639600.

The previous prime is 13252956292489. The next prime is 13252956292553. The reversal of 13252956292521 is 12529265925231.

The square root of 13252956292521 is 3640461.

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

13252956292521 is a `hidden beast` number, since 1 + 3 + 2 + 5 + 2 + 9 + 5 + 629 + 2 + 5 + 2 + 1 = 666.

It is an interprime number because it is at equal distance from previous prime (13252956292489) and next prime (13252956292553).

It is not a de Polignac number, because 13252956292521 - 2⁵ = 13252956292489 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (13252956292571) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 12854467276 + ... + 12854468306.

Almost surely, 2^{13252956292521} is an apocalyptic number.

13252956292521 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

13252956292521 is the 3640461-st square number.

13252956292521 is the 1820231-st centered octagonal number.

It is an amenable number.

13252956292521 is a deficient number, since it is larger than the sum of its proper divisors (8007808225108).

13252956292521 is an equidigital number, since it uses as much as digits as its factorization.

13252956292521 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2304 (or 1152 counting only the distinct ones).

The product of its digits is 5832000, while the sum is 54.

The spelling of 13252956292521 in words is "thirteen trillion, two hundred fifty-two billion, nine hundred fifty-six million, two hundred ninety-two thousand, five hundred twenty-one".