252120096 has 36 divisors (see below), whose sum is σ = 716967342. Its totient is φ = 84039936.

The previous prime is 252120049. The next prime is 252120097. The reversal of 252120096 is 690021252.

It can be written as a sum of positive squares in only one way, i.e., 249008400 + 3111696 = 15780^2 + 1764^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is not an unprimeable number, because it can be changed into a prime (252120097) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 437421 + ... + 437996.

Almost surely, 2^252120096 is an apocalyptic number.

It is an amenable number.

252120096 is an abundant number, since it is smaller than the sum of its proper divisors (464847246).

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

252120096 is a wasteful number, since it uses less digits than its factorization.

252120096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 875433 (or 875422 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The square root of 252120096 is about 15878.2900842629. The cubic root of 252120096 is about 631.7362837140.

The spelling of 252120096 in words is "two hundred fifty-two million, one hundred twenty thousand, ninety-six".