252904371792 has 160 divisors (see below), whose sum is σ = 679852486656. Its totient is φ = 80952499200.

The previous prime is 252904371791. The next prime is 252904371793. The reversal of 252904371792 is 297173409252.

It is an interprime number because it is at equal distance from previous prime (252904371791) and next prime (252904371793).

It is a hoax number, since the sum of its digits (51) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (252904371791) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 46223617 + ... + 46229087.

Almost surely, 2^252904371792 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 252904371792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (339926243328).

252904371792 is an abundant number, since it is smaller than the sum of its proper divisors (426948114864).

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

252904371792 is a wasteful number, since it uses less digits than its factorization.

252904371792 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5889 (or 5883 counting only the distinct ones).

The product of its (nonzero) digits is 1905120, while the sum is 51.

The spelling of 252904371792 in words is "two hundred fifty-two billion, nine hundred four million, three hundred seventy-one thousand, seven hundred ninety-two".