131325763257 has 24 divisors (see below), whose sum is σ = 204342030984. Its totient is φ = 80793103104.

The previous prime is 131325763241. The next prime is 131325763267. The reversal of 131325763257 is 752367523131.

131325763257 is a `hidden beast` number, since 1 + 3 + 1 + 3 + 2 + 5 + 7 + 632 + 5 + 7 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 3003478416 + 128322284841 = 54804^2 + 358221^2 .

It is not a de Polignac number, because 131325763257 - 2⁴ = 131325763241 is a prime.

It is a super-2 number, since 2×131325763257² (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (131325763267) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 264183 + ... + 576579.

It is an arithmetic number, because the mean of its divisors is an integer number (8514251291).

Almost surely, 2^131325763257 is an apocalyptic number.

It is an amenable number.

131325763257 is a deficient number, since it is larger than the sum of its proper divisors (73016267727).

131325763257 is a wasteful number, since it uses less digits than its factorization.

131325763257 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 316009 (or 316006 counting only the distinct ones).

The product of its digits is 793800, while the sum is 45.

The spelling of 131325763257 in words is "one hundred thirty-one billion, three hundred twenty-five million, seven hundred sixty-three thousand, two hundred fifty-seven".