257013134137 has 2 divisors, whose sum is σ = 257013134138. Its totient is φ = 257013134136.

The previous prime is 257013134129. The next prime is 257013134173. The reversal of 257013134137 is 731431310752.

Together with next prime (257013134173) it forms an Ormiston pair, because they use the same digits, order apart.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 248697700416 + 8315433721 = 498696^2 + 91189^2 .

It is a cyclic number.

It is not a de Polignac number, because 257013134137 - 2³ = 257013134129 is a prime.

It is a super-2 number, since 2×257013134137² (a number of 24 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 257013134096 and 257013134105.

It is not a weakly prime, because it can be changed into another prime (257013144137) 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 as a sum of consecutive naturals, namely, 128506567068 + 128506567069.

It is an arithmetic number, because the mean of its divisors is an integer number (128506567069).

Almost surely, 2^257013134137 is an apocalyptic number.

It is an amenable number.

257013134137 is a deficient number, since it is larger than the sum of its proper divisors (1).

257013134137 is an equidigital number, since it uses as much as digits as its factorization.

257013134137 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 52920, while the sum is 37.

Adding to 257013134137 its reverse (731431310752), we get a palindrome (988444444889).

The spelling of 257013134137 in words is "two hundred fifty-seven billion, thirteen million, one hundred thirty-four thousand, one hundred thirty-seven".