252353100 has 72 divisors (see below), whose sum is σ = 773106768. Its totient is φ = 63334400.

The previous prime is 252353093. The next prime is 252353107. The reversal of 252353100 is 1353252.

It is an interprime number because it is at equal distance from previous prime (252353093) and next prime (252353107).

It is a super-2 number, since 2×252353100² = 127364174159220000, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (252353107) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 19641 + ... + 29840.

It is an arithmetic number, because the mean of its divisors is an integer number (10737594).

Almost surely, 2^252353100 is an apocalyptic number.

252353100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

252353100 is an abundant number, since it is smaller than the sum of its proper divisors (520753668).

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

252353100 is a wasteful number, since it uses less digits than its factorization.

252353100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 49515 (or 49508 counting only the distinct ones).

The product of its (nonzero) digits is 900, while the sum is 21.

The square root of 252353100 is about 15885.6255778613. The cubic root of 252353100 is about 631.9308361796.

The spelling of 252353100 in words is "two hundred fifty-two million, three hundred fifty-three thousand, one hundred".