257417513 has 2 divisors, whose sum is σ = 257417514. Its totient is φ = 257417512.

The previous prime is 257417509. The next prime is 257417569. The reversal of 257417513 is 315714752.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 226592809 + 30824704 = 15053^2 + 5552^2 .

It is a cyclic number.

It is not a de Polignac number, because 257417513 - 2² = 257417509 is a prime.

It is not a weakly prime, because it can be changed into another prime (257417593) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 128708756 + 128708757.

It is an arithmetic number, because the mean of its divisors is an integer number (128708757).

Almost surely, 2^257417513 is an apocalyptic number.

It is an amenable number.

257417513 is a deficient number, since it is larger than the sum of its proper divisors (1).

257417513 is an equidigital number, since it uses as much as digits as its factorization.

257417513 is an evil number, because the sum of its binary digits is even.

The product of its digits is 29400, while the sum is 35.

The square root of 257417513 is about 16044.2361301497. The cubic root of 257417513 is about 636.1302234893.

The spelling of 257417513 in words is "two hundred fifty-seven million, four hundred seventeen thousand, five hundred thirteen".