257251513 has 2 divisors, whose sum is σ = 257251514. Its totient is φ = 257251512.

The previous prime is 257251487. The next prime is 257251529. The reversal of 257251513 is 315152752.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 252269689 + 4981824 = 15883^2 + 2232^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-257251513 is a prime.

It is not a weakly prime, because it can be changed into another prime (257255513) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 128625756 + 128625757.

It is an arithmetic number, because the mean of its divisors is an integer number (128625757).

Almost surely, 2^257251513 is an apocalyptic number.

It is an amenable number.

257251513 is a deficient number, since it is larger than the sum of its proper divisors (1).

257251513 is an equidigital number, since it uses as much as digits as its factorization.

257251513 is an evil number, because the sum of its binary digits is even.

The product of its digits is 10500, while the sum is 31.

The square root of 257251513 is about 16039.0620985144. The cubic root of 257251513 is about 635.9934543384.

The spelling of 257251513 in words is "two hundred fifty-seven million, two hundred fifty-one thousand, five hundred thirteen".