252858505360 has 40 divisors (see below), whose sum is σ = 588000207096. Its totient is φ = 101125478400.

The previous prime is 252858505313. The next prime is 252858505369. The reversal of 252858505360 is 63505858252.

252858505360 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 4025141136 + 248833364224 = 63444^2 + 498832^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is not an unprimeable number, because it can be changed into a prime (252858505369) 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 7 ways as a sum of consecutive naturals, for example, 178872 + ... + 733288.

Almost surely, 2^252858505360 is an apocalyptic number.

252858505360 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

252858505360 is an abundant number, since it is smaller than the sum of its proper divisors (335141701736).

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

252858505360 is a wasteful number, since it uses less digits than its factorization.

252858505360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 560131 (or 560125 counting only the distinct ones).

The product of its (nonzero) digits is 2880000, while the sum is 49.

The spelling of 252858505360 in words is "two hundred fifty-two billion, eight hundred fifty-eight million, five hundred five thousand, three hundred sixty".