252133504 has 64 divisors (see below), whose sum is σ = 576259200. Its totient is φ = 107642880.

The previous prime is 252133489. The next prime is 252133517. The reversal of 252133504 is 405331252.

It is a tau number, because it is divible by the number of its divisors (64).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 393024 + ... + 393664.

It is an arithmetic number, because the mean of its divisors is an integer number (9004050).

Almost surely, 2^252133504 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 252133504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (288129600).

252133504 is an abundant number, since it is smaller than the sum of its proper divisors (324125696).

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

252133504 is an equidigital number, since it uses as much as digits as its factorization.

252133504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1101 (or 1089 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 25.

The square root of 252133504 is about 15878.7122903591. The cubic root of 252133504 is about 631.7474823056.

Adding to 252133504 its reverse (405331252), we get a palindrome (657464756).

The spelling of 252133504 in words is "two hundred fifty-two million, one hundred thirty-three thousand, five hundred four".