257123771051 has 24 divisors (see below), whose sum is σ = 305555867136. Its totient is φ = 215639909520.

The previous prime is 257123770909. The next prime is 257123771059. The reversal of 257123771051 is 150177321752.

It is not a de Polignac number, because 257123771051 - 2³⁰ = 256050029227 is a prime.

It is a super-2 number, since 2×257123771051² (a number of 24 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (257123771059) 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 23 ways as a sum of consecutive naturals, for example, 8992760 + ... + 9021306.

It is an arithmetic number, because the mean of its divisors is an integer number (12731494464).

Almost surely, 2^257123771051 is an apocalyptic number.

257123771051 is a deficient number, since it is larger than the sum of its proper divisors (48432096085).

257123771051 is a wasteful number, since it uses less digits than its factorization.

257123771051 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32519 (or 32512 counting only the distinct ones).

The product of its (nonzero) digits is 102900, while the sum is 41.

The spelling of 257123771051 in words is "two hundred fifty-seven billion, one hundred twenty-three million, seven hundred seventy-one thousand, fifty-one".