257057021314167 has 8 divisors (see below), whose sum is σ = 351102273014640. Its totient is φ = 167191558578240.

The previous prime is 257057021314157. The next prime is 257057021314253. The reversal of 257057021314167 is 761413120750752.

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

It is not a de Polignac number, because 257057021314167 - 2⁶ = 257057021314103 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (257057021314157) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1044947240992 + ... + 1044947241237.

It is an arithmetic number, because the mean of its divisors is an integer number (43887784126830).

Almost surely, 2^{257057021314167} is an apocalyptic number.

257057021314167 is a deficient number, since it is larger than the sum of its proper divisors (94045251700473).

257057021314167 is a wasteful number, since it uses less digits than its factorization.

257057021314167 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2089894482273.

The product of its (nonzero) digits is 2469600, while the sum is 51.

The spelling of 257057021314167 in words is "two hundred fifty-seven trillion, fifty-seven billion, twenty-one million, three hundred fourteen thousand, one hundred sixty-seven".