252528000504 has 64 divisors (see below), whose sum is σ = 682878349440. Its totient is φ = 77358606720.

The previous prime is 252528000503. The next prime is 252528000511. The reversal of 252528000504 is 405000825252.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (252528000503) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1711962 + ... + 1853609.

It is an arithmetic number, because the mean of its divisors is an integer number (10669974210).

Almost surely, 2^252528000504 is an apocalyptic number.

252528000504 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

252528000504 is an abundant number, since it is smaller than the sum of its proper divisors (430350348936).

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

252528000504 is a wasteful number, since it uses less digits than its factorization.

252528000504 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3565820 (or 3565816 counting only the distinct ones).

The product of its (nonzero) digits is 32000, while the sum is 33.

Adding to 252528000504 its reverse (405000825252), we get a palindrome (657528825756).

The spelling of 252528000504 in words is "two hundred fifty-two billion, five hundred twenty-eight million, five hundred four", and thus it is an aban number.