252352100 has 144 divisors (see below), whose sum is σ = 735536256. Its totient is φ = 72576000.

The previous prime is 252352073. The next prime is 252352103. The reversal of 252352100 is 1253252.

252352100 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is not an unprimeable number, because it can be changed into a prime (252352103) 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 47 ways as a sum of consecutive naturals, for example, 98840 + ... + 101360.

Almost surely, 2^252352100 is an apocalyptic number.

252352100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 252352100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (367768128).

252352100 is an abundant number, since it is smaller than the sum of its proper divisors (483184156).

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

252352100 is a wasteful number, since it uses less digits than its factorization.

252352100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2566 (or 2559 counting only the distinct ones).

The product of its (nonzero) digits is 600, while the sum is 20.

The square root of 252352100 is about 15885.5941028342. The cubic root of 252352100 is about 631.9300014607.

The spelling of 252352100 in words is "two hundred fifty-two million, three hundred fifty-two thousand, one hundred".