252861025900 has 432 divisors, whose sum is σ = 670277099520. Its totient is φ = 82504396800.

The previous prime is 252861025891. The next prime is 252861025919. The reversal of 252861025900 is 9520168252.

252861025900 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 1991031637 + ... + 1991031763.

It is an arithmetic number, because the mean of its divisors is an integer number (1551567360).

Almost surely, 2^252861025900 is an apocalyptic number.

252861025900 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 252861025900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (335138549760).

252861025900 is an abundant number, since it is smaller than the sum of its proper divisors (417416073620).

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

252861025900 is a wasteful number, since it uses less digits than its factorization.

252861025900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 382 (or 368 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 40.

The spelling of 252861025900 in words is "two hundred fifty-two billion, eight hundred sixty-one million, twenty-five thousand, nine hundred".