252188820 has 72 divisors (see below), whose sum is σ = 823824456. Its totient is φ = 62076672.

The previous prime is 252188809. The next prime is 252188837. The reversal of 252188820 is 28881252.

It is a happy number.

252188820 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 4 ways, for example, as 5447556 + 246741264 = 2334^2 + 15708^2 .

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 51547 + ... + 56226.

Almost surely, 2^252188820 is an apocalyptic number.

252188820 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

252188820 is an abundant number, since it is smaller than the sum of its proper divisors (571635636).

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

252188820 is a wasteful number, since it uses less digits than its factorization.

252188820 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 107801 (or 107796 counting only the distinct ones).

The product of its (nonzero) digits is 20480, while the sum is 36.

The square root of 252188820 is about 15880.4540237362. The cubic root of 252188820 is about 631.7936789804.

The spelling of 252188820 in words is "two hundred fifty-two million, one hundred eighty-eight thousand, eight hundred twenty".