252312096 has 192 divisors, whose sum is σ = 754790400. Its totient is φ = 73322496.

The previous prime is 252312083. The next prime is 252312097. The reversal of 252312096 is 690213252.

252312096 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×252312096² = 127322787575826432, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (252312097) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2449581 + ... + 2449683.

It is an arithmetic number, because the mean of its divisors is an integer number (3931200).

Almost surely, 2^252312096 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 252312096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (377395200).

252312096 is an abundant number, since it is smaller than the sum of its proper divisors (502478304).

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

252312096 is a wasteful number, since it uses less digits than its factorization.

252312096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 231 (or 223 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 30.

The square root of 252312096 is about 15884.3349246986. The cubic root of 252312096 is about 631.8966075589.

The spelling of 252312096 in words is "two hundred fifty-two million, three hundred twelve thousand, ninety-six".