252585252 has 72 divisors (see below), whose sum is σ = 682770816. Its totient is φ = 78453504.

The previous prime is 252585251. The next prime is 252585301.

252585252 is a `hidden beast` number, since 2 + 52 + 585 + 25 + 2 = 666.

252585252 is nontrivially palindromic in base 10.

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 not an unprimeable number, because it can be changed into a prime (252585251) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 61033 + ... + 65039.

It is an arithmetic number, because the mean of its divisors is an integer number (9482928).

Almost surely, 2^252585252 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 252585252, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (341385408).

252585252 is an abundant number, since it is smaller than the sum of its proper divisors (430185564).

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

252585252 is a wasteful number, since it uses less digits than its factorization.

252585252 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4137 (or 4132 counting only the distinct ones).

The product of its digits is 80000, while the sum is 36.

The square root of 252585252 is about 15892.9308813699. The cubic root of 252585252 is about 632.1245581822.

Subtracting from 252585252 its product of digits (80000), we obtain a palindrome (252505252).

The spelling of 252585252 in words is "two hundred fifty-two million, five hundred eighty-five thousand, two hundred fifty-two".