252610172560 has 80 divisors (see below), whose sum is σ = 619707211200. Its totient is φ = 95497256448.

The previous prime is 252610172537. The next prime is 252610172593. The reversal of 252610172560 is 65271016252.

252610172560 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (80).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 438562 + ... + 835198.

It is an arithmetic number, because the mean of its divisors is an integer number (7746340140).

Almost surely, 2^252610172560 is an apocalyptic number.

252610172560 is a gapful number since it is divisible by the number (20) 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 252610172560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (309853605600).

252610172560 is an abundant number, since it is smaller than the sum of its proper divisors (367097038640).

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

252610172560 is a wasteful number, since it uses less digits than its factorization.

252610172560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 397088 (or 397082 counting only the distinct ones).

The product of its (nonzero) digits is 50400, while the sum is 37.

The spelling of 252610172560 in words is "two hundred fifty-two billion, six hundred ten million, one hundred seventy-two thousand, five hundred sixty".