257461709 has 2 divisors, whose sum is σ = 257461710. Its totient is φ = 257461708.

The previous prime is 257461679. The next prime is 257461717. The reversal of 257461709 is 907164752.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 185041609 + 72420100 = 13603^2 + 8510^2 .

It is a cyclic number.

It is not a de Polignac number, because 257461709 - 2⁸ = 257461453 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (257461759) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 128730854 + 128730855.

It is an arithmetic number, because the mean of its divisors is an integer number (128730855).

Almost surely, 2^257461709 is an apocalyptic number.

It is an amenable number.

257461709 is a deficient number, since it is larger than the sum of its proper divisors (1).

257461709 is an equidigital number, since it uses as much as digits as its factorization.

257461709 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 105840, while the sum is 41.

The square root of 257461709 is about 16045.6133880883. The cubic root of 257461709 is about 636.1666271282.

The spelling of 257461709 in words is "two hundred fifty-seven million, four hundred sixty-one thousand, seven hundred nine".