252256025100 has 144 divisors (see below), whose sum is σ = 779742454400. Its totient is φ = 62776581120.

The previous prime is 252256025069. The next prime is 252256025113. The reversal of 252256025100 is 1520652252.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 51636 + ... + 712164.

Almost surely, 2^252256025100 is an apocalyptic number.

252256025100 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 252256025100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (389871227200).

252256025100 is an abundant number, since it is smaller than the sum of its proper divisors (527486429300).

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

252256025100 is a wasteful number, since it uses less digits than its factorization.

252256025100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 660632 (or 660625 counting only the distinct ones).

The product of its (nonzero) digits is 12000, while the sum is 30.

Adding to 252256025100 its reverse (1520652252), we get a palindrome (253776677352).

The spelling of 252256025100 in words is "two hundred fifty-two billion, two hundred fifty-six million, twenty-five thousand, one hundred".