252312402100 has 72 divisors (see below), whose sum is σ = 598146153696. Its totient is φ = 91618800000.

The previous prime is 252312402079. The next prime is 252312402137. The reversal of 252312402100 is 1204213252.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (22).

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, 607495 + ... + 934705.

It is an arithmetic number, because the mean of its divisors is an integer number (8307585468).

Almost surely, 2^252312402100 is an apocalyptic number.

252312402100 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 252312402100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (299073076848).

252312402100 is an abundant number, since it is smaller than the sum of its proper divisors (345833751596).

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

252312402100 is a wasteful number, since it uses less digits than its factorization.

252312402100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 327937 (or 327930 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 22.

Adding to 252312402100 its reverse (1204213252), we get a palindrome (253516615352).

The spelling of 252312402100 in words is "two hundred fifty-two billion, three hundred twelve million, four hundred two thousand, one hundred".