252651636 has 60 divisors (see below), whose sum is σ = 672988932. Its totient is φ = 82622592.

The previous prime is 252651599. The next prime is 252651647. The reversal of 252651636 is 636156252.

It is a happy number.

252651636 is digitally balanced in base 2, 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 184688100 + 67963536 = 13590^2 + 8244^2 .

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

It is a self number, because there is not a number n which added to its sum of digits gives 252651636.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 9816 + ... + 24528.

Almost surely, 2^252651636 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 252651636, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (336494466).

252651636 is an abundant number, since it is smaller than the sum of its proper divisors (420337296).

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

252651636 is a wasteful number, since it uses less digits than its factorization.

252651636 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14782 (or 14771 counting only the distinct ones).

The product of its digits is 64800, while the sum is 36.

The square root of 252651636 is about 15895.0192198688. The cubic root of 252651636 is about 632.1799312766.

The spelling of 252651636 in words is "two hundred fifty-two million, six hundred fifty-one thousand, six hundred thirty-six".