252517259376 has 80 divisors (see below), whose sum is σ = 738493938720. Its totient is φ = 82584253440.

The previous prime is 252517259363. The next prime is 252517259389. The reversal of 252517259376 is 673952715252.

252517259376 is a `hidden beast` number, since 2 + 5 + 2 + 5 + 17 + 259 + 376 = 666.

252517259376 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (252517259363) and next prime (252517259389).

It is a super-3 number, since 3×252517259376³ (a number of 35 digits) contains 333 as substring.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

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

It is a congruent number.

It is an unprimeable number.

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, 5491545 + ... + 5537336.

It is an arithmetic number, because the mean of its divisors is an integer number (9231174234).

Almost surely, 2^252517259376 is an apocalyptic number.

It is an amenable number.

252517259376 is an abundant number, since it is smaller than the sum of its proper divisors (485976679344).

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

252517259376 is a wasteful number, since it uses less digits than its factorization.

252517259376 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11028951 (or 11028939 counting only the distinct ones).

The product of its digits is 7938000, while the sum is 54.

The spelling of 252517259376 in words is "two hundred fifty-two billion, five hundred seventeen million, two hundred fifty-nine thousand, three hundred seventy-six".