252588606304 has 24 divisors (see below), whose sum is σ = 526535809128. Its totient is φ = 118865226240.

The previous prime is 252588606301. The next prime is 252588606323. The reversal of 252588606304 is 403606885252.

252588606304 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (252588606301) by changing a digit.

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 3 ways as a sum of consecutive naturals, for example, 232158102 + ... + 232159189.

It is an arithmetic number, because the mean of its divisors is an integer number (21938992047).

Almost surely, 2^252588606304 is an apocalyptic number.

It is an amenable number.

252588606304 is an abundant number, since it is smaller than the sum of its proper divisors (273947202824).

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

252588606304 is a wasteful number, since it uses less digits than its factorization.

252588606304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 464317318 (or 464317310 counting only the distinct ones).

The product of its (nonzero) digits is 2764800, while the sum is 49.

The spelling of 252588606304 in words is "two hundred fifty-two billion, five hundred eighty-eight million, six hundred six thousand, three hundred four".