252569210712 has 512 divisors, whose sum is σ = 829785600000. Its totient is φ = 63575801856.

The previous prime is 252569210651. The next prime is 252569210723. The reversal of 252569210712 is 217012965252.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 301035589 + ... + 301036427.

It is an arithmetic number, because the mean of its divisors is an integer number (1620675000).

Almost surely, 2^252569210712 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 252569210712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (414892800000).

252569210712 is an abundant number, since it is smaller than the sum of its proper divisors (577216389288).

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

252569210712 is a wasteful number, since it uses less digits than its factorization.

252569210712 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1008 (or 990 counting only the distinct ones).

The product of its (nonzero) digits is 151200, while the sum is 42.

The spelling of 252569210712 in words is "two hundred fifty-two billion, five hundred sixty-nine million, two hundred ten thousand, seven hundred twelve".