257713751 has 2 divisors, whose sum is σ = 257713752. Its totient is φ = 257713750.

The previous prime is 257713747. The next prime is 257713783. The reversal of 257713751 is 157317752.

It is a weak prime.

It is a cyclic number.

It is not a de Polignac number, because 257713751 - 2² = 257713747 is a prime.

It is a Sophie Germain prime.

It is a Chen prime.

It is equal to p_14077946 and since 257713751 and 14077946 have the same sum of digits, it is a Honaker prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (257713151) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 128856875 + 128856876.

It is an arithmetic number, because the mean of its divisors is an integer number (128856876).

Almost surely, 2^257713751 is an apocalyptic number.

257713751 is a deficient number, since it is larger than the sum of its proper divisors (1).

257713751 is an equidigital number, since it uses as much as digits as its factorization.

257713751 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 51450, while the sum is 38.

The square root of 257713751 is about 16053.4653891302. The cubic root of 257713751 is about 636.3741510823.

The spelling of 257713751 in words is "two hundred fifty-seven million, seven hundred thirteen thousand, seven hundred fifty-one".