252948688032 has 48 divisors (see below), whose sum is σ = 664312682880. Its totient is φ = 84275292672.

The previous prime is 252948688021. The next prime is 252948688061. The reversal of 252948688032 is 230886849252.

252948688032 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 (48).

It is a super-2 number, since 2×252948688032² (a number of 24 digits) contains 22 as substring.

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 7 ways as a sum of consecutive naturals, for example, 440557 + ... + 836652.

It is an arithmetic number, because the mean of its divisors is an integer number (13839847560).

Almost surely, 2^252948688032 is an apocalyptic number.

It is an amenable number.

252948688032 is an abundant number, since it is smaller than the sum of its proper divisors (411363994848).

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

252948688032 is a wasteful number, since it uses less digits than its factorization.

252948688032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1279285 (or 1279277 counting only the distinct ones).

The product of its (nonzero) digits is 13271040, while the sum is 57.

The spelling of 252948688032 in words is "two hundred fifty-two billion, nine hundred forty-eight million, six hundred eighty-eight thousand, thirty-two".