252252304000 has 64 divisors (see below), whose sum is σ = 627162330600. Its totient is φ = 100900915200.

The previous prime is 252252303997. The next prime is 252252304097. The reversal of 252252304000 is 403252252.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 19303212096 + 232949091904 = 138936^2 + 482648^2 .

It is a tau number, because it is divible by the number of its divisors (64).

It is a Harshad number since it is a multiple of its sum of digits (25).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 7866885 + ... + 7898884.

Almost surely, 2^252252304000 is an apocalyptic number.

252252304000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

252252304000 is an abundant number, since it is smaller than the sum of its proper divisors (374910026600).

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

252252304000 is an equidigital number, since it uses as much as digits as its factorization.

252252304000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15765798 (or 15765776 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 25.

Adding to 252252304000 its reverse (403252252), we get a palindrome (252655556252).

The spelling of 252252304000 in words is "two hundred fifty-two billion, two hundred fifty-two million, three hundred four thousand".