252004313145200 has 120 divisors (see below), whose sum is σ = 754834737544320. Its totient is φ = 78546798892800.

The previous prime is 252004313145131. The next prime is 252004313145253. The reversal of 252004313145200 is 2541313400252.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4090948310 + ... + 4091009909.

It is an arithmetic number, because the mean of its divisors is an integer number (6290289479536).

Almost surely, 2^{252004313145200} is an apocalyptic number.

252004313145200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

252004313145200 is an abundant number, since it is smaller than the sum of its proper divisors (502830424399120).

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

252004313145200 is a wasteful number, since it uses less digits than its factorization.

252004313145200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8181958255 (or 8181958244 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 32.

Adding to 252004313145200 its reverse (2541313400252), we get a palindrome (254545626545452).

The spelling of 252004313145200 in words is "two hundred fifty-two trillion, four billion, three hundred thirteen million, one hundred forty-five thousand, two hundred".