131509057 has 2 divisors, whose sum is σ = 131509058. Its totient is φ = 131509056.

The previous prime is 131509019. The next prime is 131509069. The reversal of 131509057 is 750905131.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 92083216 + 39425841 = 9596^2 + 6279^2 .

It is an emirp because it is prime and its reverse (750905131) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 131509057 - 2⁷ = 131508929 is a prime.

It is not a weakly prime, because it can be changed into another prime (131509757) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 65754528 + 65754529.

It is an arithmetic number, because the mean of its divisors is an integer number (65754529).

Almost surely, 2^131509057 is an apocalyptic number.

It is an amenable number.

131509057 is a deficient number, since it is larger than the sum of its proper divisors (1).

131509057 is an equidigital number, since it uses as much as digits as its factorization.

131509057 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 4725, while the sum is 31.

The square root of 131509057 is about 11467.7398383465. The cubic root of 131509057 is about 508.5323137048.

The spelling of 131509057 in words is "one hundred thirty-one million, five hundred nine thousand, fifty-seven".