257177351413 has 2 divisors, whose sum is σ = 257177351414. Its totient is φ = 257177351412.

The previous prime is 257177351357. The next prime is 257177351419. The reversal of 257177351413 is 314153771752.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 231113832049 + 26063519364 = 480743^2 + 161442^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-257177351413 is a prime.

It is a super-2 number, since 2×257177351413² (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (257177351419) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 128588675706 + 128588675707.

It is an arithmetic number, because the mean of its divisors is an integer number (128588675707).

Almost surely, 2^257177351413 is an apocalyptic number.

It is an amenable number.

257177351413 is a deficient number, since it is larger than the sum of its proper divisors (1).

257177351413 is an equidigital number, since it uses as much as digits as its factorization.

257177351413 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 617400, while the sum is 46.

The spelling of 257177351413 in words is "two hundred fifty-seven billion, one hundred seventy-seven million, three hundred fifty-one thousand, four hundred thirteen".