253382100 has 72 divisors (see below), whose sum is σ = 771721440. Its totient is φ = 64010880.

The previous prime is 253382089. The next prime is 253382111. The reversal of 253382100 is 1283352.

It is an interprime number because it is at equal distance from previous prime (253382089) and next prime (253382111).

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, 16527 + ... + 27926.

Almost surely, 2^253382100 is an apocalyptic number.

253382100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

253382100 is an abundant number, since it is smaller than the sum of its proper divisors (518339340).

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

253382100 is a wasteful number, since it uses less digits than its factorization.

253382100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 44489 (or 44482 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 24.

The square root of 253382100 is about 15917.9803995356. The cubic root of 253382100 is about 632.7885959268.

The spelling of 253382100 in words is "two hundred fifty-three million, three hundred eighty-two thousand, one hundred".