257864085715 has 8 divisors (see below), whose sum is σ = 325723055760. Its totient is φ = 195433833312.

The previous prime is 257864085691. The next prime is 257864085733. The reversal of 257864085715 is 517580468752.

257864085715 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 257864085715 - 2⁷ = 257864085587 is a prime.

It is a super-2 number, since 2×257864085715² (a number of 24 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 257864085715.

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 7 ways as a sum of consecutive naturals, for example, 1357179304 + ... + 1357179493.

It is an arithmetic number, because the mean of its divisors is an integer number (40715381970).

Almost surely, 2^257864085715 is an apocalyptic number.

257864085715 is a deficient number, since it is larger than the sum of its proper divisors (67858970045).

257864085715 is a wasteful number, since it uses less digits than its factorization.

257864085715 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2714358821.

The product of its (nonzero) digits is 18816000, while the sum is 58.

The spelling of 257864085715 in words is "two hundred fifty-seven billion, eight hundred sixty-four million, eighty-five thousand, seven hundred fifteen".