13457875431 has 180 divisors, whose sum is σ = 25534670760. Its totient is φ = 6278912640.

The previous prime is 13457875399. The next prime is 13457875433.

13457875431 is nontrivially palindromic in base 10.

13457875431 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 13457875431 - 2⁵ = 13457875399 is a prime.

It is a super-2 number, since 2×13457875431² (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13457875433) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 179 ways as a sum of consecutive naturals, for example, 363726345 + ... + 363726381.

It is an arithmetic number, because the mean of its divisors is an integer number (141859282).

Almost surely, 2^13457875431 is an apocalyptic number.

13457875431 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

13457875431 is a deficient number, since it is larger than the sum of its proper divisors (12076795329).

13457875431 is an equidigital number, since it uses as much as digits as its factorization.

13457875431 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 124 (or 71 counting only the distinct ones).

The product of its digits is 1411200, while the sum is 48.

It can be divided in two parts, 13457 and 875431, that added together give a palindrome (888888).

The spelling of 13457875431 in words is "thirteen billion, four hundred fifty-seven million, eight hundred seventy-five thousand, four hundred thirty-one".