252127568256 has 64 divisors (see below), whose sum is σ = 669822592320. Its totient is φ = 84028877312.

The previous prime is 252127568221. The next prime is 252127568269. The reversal of 252127568256 is 652865721252.

252127568256 is digitally balanced in base 2 and base 3, because in such bases 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 (64).

It is a junction number, because it is equal to n+sod(n) for n = 252127568199 and 252127568208.

It is a congruent number.

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, 2470171 + ... + 2570213.

It is an arithmetic number, because the mean of its divisors is an integer number (10465978005).

Almost surely, 2^252127568256 is an apocalyptic number.

It is an amenable number.

252127568256 is an abundant number, since it is smaller than the sum of its proper divisors (417695024064).

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

252127568256 is a wasteful number, since it uses less digits than its factorization.

252127568256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 106623 (or 106611 counting only the distinct ones).

The product of its digits is 4032000, while the sum is 51.

The spelling of 252127568256 in words is "two hundred fifty-two billion, one hundred twenty-seven million, five hundred sixty-eight thousand, two hundred fifty-six".