13252956292520 has 256 divisors, whose sum is σ = 34428843417600. Its totient is φ = 4497539235840.

The previous prime is 13252956292489. The next prime is 13252956292553. The reversal of 13252956292520 is 2529265925231.

It is a Cunningham number, because it is equal to 3640461²-1.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 13906564364 + ... + 13906565316.

It is an arithmetic number, because the mean of its divisors is an integer number (134487669600).

Almost surely, 2^{13252956292520} is an apocalyptic number.

13252956292520 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13252956292520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17214421708800).

13252956292520 is an abundant number, since it is smaller than the sum of its proper divisors (21175887125080).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

13252956292520 is a wasteful number, since it uses less digits than its factorization.

13252956292520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2188 (or 2184 counting only the distinct ones).

The product of its (nonzero) digits is 5832000, while the sum is 53.

The spelling of 13252956292520 in words is "thirteen trillion, two hundred fifty-two billion, nine hundred fifty-six million, two hundred ninety-two thousand, five hundred twenty".