257056117435653 has 16 divisors (see below), whose sum is σ = 348551449382400. Its totient is φ = 168465778251120.

The previous prime is 257056117435651. The next prime is 257056117435657. The reversal of 257056117435653 is 356534711650752.

It is a happy number.

It is not a de Polignac number, because 257056117435653 - 2¹ = 257056117435651 is a prime.

It is a super-2 number, since 2×257056117435653² (a number of 30 digits) contains 22 as substring.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (257056117435651) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 93012918 + ... + 95736696.

It is an arithmetic number, because the mean of its divisors is an integer number (21784465586400).

Almost surely, 2^{257056117435653} is an apocalyptic number.

It is an amenable number.

257056117435653 is a deficient number, since it is larger than the sum of its proper divisors (91495331946747).

257056117435653 is a wasteful number, since it uses less digits than its factorization.

257056117435653 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3257032.

The product of its (nonzero) digits is 79380000, while the sum is 60.

The spelling of 257056117435653 in words is "two hundred fifty-seven trillion, fifty-six billion, one hundred seventeen million, four hundred thirty-five thousand, six hundred fifty-three".