257127713 has 2 divisors, whose sum is σ = 257127714. Its totient is φ = 257127712.

The previous prime is 257127653. The next prime is 257127757. The reversal of 257127713 is 317721752.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 164429329 + 92698384 = 12823^2 + 9628^2 .

It is a cyclic number.

It is not a de Polignac number, because 257127713 - 2⁸ = 257127457 is a prime.

It is a super-2 number, since 2×257127713² = 132229321585220738, which contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (257127413) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 128563856 + 128563857.

It is an arithmetic number, because the mean of its divisors is an integer number (128563857).

Almost surely, 2^257127713 is an apocalyptic number.

It is an amenable number.

257127713 is a deficient number, since it is larger than the sum of its proper divisors (1).

257127713 is an equidigital number, since it uses as much as digits as its factorization.

257127713 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 20580, while the sum is 35.

The square root of 257127713 is about 16035.2023061762. The cubic root of 257127713 is about 635.8914159060.

The spelling of 257127713 in words is "two hundred fifty-seven million, one hundred twenty-seven thousand, seven hundred thirteen".