34257172131 has 96 divisors (see below), whose sum is σ = 63812356608. Its totient is φ = 17882311680.

The previous prime is 34257172099. The next prime is 34257172211. The reversal of 34257172131 is 13127175243.

34257172131 is a `hidden beast` number, since 3 + 4 + 2 + 571 + 72 + 13 + 1 = 666.

It is not a de Polignac number, because 34257172131 - 2⁵ = 34257172099 is a prime.

It is a super-2 number, since 2×34257172131² (a number of 22 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (34257171131) 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 95 ways as a sum of consecutive naturals, for example, 2136976 + ... + 2152946.

It is an arithmetic number, because the mean of its divisors is an integer number (664712048).

Almost surely, 2^34257172131 is an apocalyptic number.

34257172131 is a deficient number, since it is larger than the sum of its proper divisors (29555184477).

34257172131 is a wasteful number, since it uses less digits than its factorization.

34257172131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16103 (or 16091 counting only the distinct ones).

The product of its digits is 35280, while the sum is 36.

The spelling of 34257172131 in words is "thirty-four billion, two hundred fifty-seven million, one hundred seventy-two thousand, one hundred thirty-one".