257056117231521 has 8 divisors (see below), whose sum is σ = 342763672183264. Its totient is φ = 171359653550400.

The previous prime is 257056117231519. The next prime is 257056117231579. The reversal of 257056117231521 is 125132711650752.

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

It is not a de Polignac number, because 257056117231521 - 2¹ = 257056117231519 is a prime.

It is a super-2 number, since 2×257056117231521² (a number of 30 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (257056117231421) 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, 2772763576 + ... + 2772856281.

It is an arithmetic number, because the mean of its divisors is an integer number (42845459022908).

Almost surely, 2^{257056117231521} is an apocalyptic number.

It is an amenable number.

257056117231521 is a deficient number, since it is larger than the sum of its proper divisors (85707554951743).

257056117231521 is a wasteful number, since it uses less digits than its factorization.

257056117231521 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5545635311.

The product of its (nonzero) digits is 882000, while the sum is 48.

The spelling of 257056117231521 in words is "two hundred fifty-seven trillion, fifty-six billion, one hundred seventeen million, two hundred thirty-one thousand, five hundred twenty-one".