257524457 has 2 divisors, whose sum is σ = 257524458. Its totient is φ = 257524456.

The previous prime is 257524387. The next prime is 257524459. The reversal of 257524457 is 754425752.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 220849321 + 36675136 = 14861^2 + 6056^2 .

It is a cyclic number.

It is not a de Polignac number, because 257524457 - 2¹⁴ = 257508073 is a prime.

Together with 257524459, it forms a pair of twin primes.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (257524459) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 128762228 + 128762229.

It is an arithmetic number, because the mean of its divisors is an integer number (128762229).

Almost surely, 2^257524457 is an apocalyptic number.

It is an amenable number.

257524457 is a deficient number, since it is larger than the sum of its proper divisors (1).

257524457 is an equidigital number, since it uses as much as digits as its factorization.

257524457 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 392000, while the sum is 41.

The square root of 257524457 is about 16047.5685697242. The cubic root of 257524457 is about 636.2183046394.

The spelling of 257524457 in words is "two hundred fifty-seven million, five hundred twenty-four thousand, four hundred fifty-seven".