252501652764 has 36 divisors (see below), whose sum is σ = 644587561800. Its totient is φ = 83333877600.

The previous prime is 252501652751. The next prime is 252501652789. The reversal of 252501652764 is 467256105252.

252501652764 is a `hidden beast` number, since 2 + 5 + 2 + 50 + 16 + 527 + 64 = 666.

252501652764 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 (36).

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 11 ways as a sum of consecutive naturals, for example, 34718814 + ... + 34726085.

It is an arithmetic number, because the mean of its divisors is an integer number (17905210050).

Almost surely, 2^252501652764 is an apocalyptic number.

It is an amenable number.

252501652764 is an abundant number, since it is smaller than the sum of its proper divisors (392085909036).

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

252501652764 is a wasteful number, since it uses less digits than its factorization.

252501652764 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 69445010 (or 69445005 counting only the distinct ones).

The product of its (nonzero) digits is 1008000, while the sum is 45.

The spelling of 252501652764 in words is "two hundred fifty-two billion, five hundred one million, six hundred fifty-two thousand, seven hundred sixty-four".