252909252 has 36 divisors (see below), whose sum is σ = 645637356. Its totient is φ = 83467200.

The previous prime is 252909229. The next prime is 252909263.

252909252 is nontrivially palindromic in base 10.

252909252 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 219454596 + 33454656 = 14814^2 + 5784^2 .

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

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an alternating number because its digits alternate between even and odd.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 31143 + ... + 38414.

It is an arithmetic number, because the mean of its divisors is an integer number (17934371).

Almost surely, 2^252909252 is an apocalyptic number.

It is an amenable number.

252909252 is an abundant number, since it is smaller than the sum of its proper divisors (392728104).

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

252909252 is a wasteful number, since it uses less digits than its factorization.

252909252 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 69668 (or 69663 counting only the distinct ones).

The product of its (nonzero) digits is 32400, while the sum is 36.

The square root of 252909252 is about 15903.1208258002. The cubic root of 252909252 is about 632.3947255098.

The spelling of 252909252 in words is "two hundred fifty-two million, nine hundred nine thousand, two hundred fifty-two".