252382100 has 18 divisors (see below), whose sum is σ = 547669374. Its totient is φ = 100952800.

The previous prime is 252382087. The next prime is 252382127. The reversal of 252382100 is 1283252.

252382100 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 3 ways, for example, as 6895876 + 245486224 = 2626^2 + 15668^2 .

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1261811 + ... + 1262010.

Almost surely, 2^252382100 is an apocalyptic number.

252382100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

252382100 is an abundant number, since it is smaller than the sum of its proper divisors (295287274).

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

252382100 is a wasteful number, since it uses less digits than its factorization.

252382100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2523835 (or 2523828 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 23.

The square root of 252382100 is about 15886.5383265203. The cubic root of 252382100 is about 631.9550420671.

The spelling of 252382100 in words is "two hundred fifty-two million, three hundred eighty-two thousand, one hundred".