252904371768 has 64 divisors (see below), whose sum is σ = 707566272000. Its totient is φ = 83694962016.

The previous prime is 252904371763. The next prime is 252904371791. The reversal of 252904371768 is 867173409252.

It is a happy number.

252904371768 is a `hidden beast` number, since 2 + 52 + 90 + 437 + 1 + 76 + 8 = 666.

252904371768 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (252904371761) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4181680 + ... + 4241727.

It is an arithmetic number, because the mean of its divisors is an integer number (11055723000).

It is a 1-persistent number, because it is pandigital, but 2⋅252904371768 = 505808743536 is not.

Almost surely, 2^252904371768 is an apocalyptic number.

It is an amenable number.

252904371768 is an abundant number, since it is smaller than the sum of its proper divisors (454661900232).

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

252904371768 is a wasteful number, since it uses less digits than its factorization.

252904371768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8423561 (or 8423551 counting only the distinct ones).

The product of its (nonzero) digits is 5080320, while the sum is 54.

The spelling of 252904371768 in words is "two hundred fifty-two billion, nine hundred four million, three hundred seventy-one thousand, seven hundred sixty-eight".