252125820 has 72 divisors (see below), whose sum is σ = 805044240. Its totient is φ = 63694080.

The previous prime is 252125803. The next prime is 252125831. The reversal of 252125820 is 28521252.

252125820 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×252125820² = 127134858221344800, which contains 22 as substring.

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, 33441 + ... + 40280.

It is an arithmetic number, because the mean of its divisors is an integer number (11181170).

Almost surely, 2^252125820 is an apocalyptic number.

252125820 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

252125820 is an abundant number, since it is smaller than the sum of its proper divisors (552918420).

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

252125820 is a wasteful number, since it uses less digits than its factorization.

252125820 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 73755 (or 73750 counting only the distinct ones).

The product of its (nonzero) digits is 3200, while the sum is 27.

The square root of 252125820 is about 15878.4703293485. The cubic root of 252125820 is about 631.7410645456.

The spelling of 252125820 in words is "two hundred fifty-two million, one hundred twenty-five thousand, eight hundred twenty".