257259017 has 2 divisors, whose sum is σ = 257259018. Its totient is φ = 257259016.

The previous prime is 257258999. The next prime is 257259047. The reversal of 257259017 is 710952752.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 200392336 + 56866681 = 14156^2 + 7541^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-257259017 is a prime.

It is not a weakly prime, because it can be changed into another prime (257259047) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 128629508 + 128629509.

It is an arithmetic number, because the mean of its divisors is an integer number (128629509).

Almost surely, 2^257259017 is an apocalyptic number.

It is an amenable number.

257259017 is a deficient number, since it is larger than the sum of its proper divisors (1).

257259017 is an equidigital number, since it uses as much as digits as its factorization.

257259017 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 44100, while the sum is 38.

The square root of 257259017 is about 16039.2960256989. The cubic root of 257259017 is about 635.9996382327. Note that the first 3 decimals are identical.

The spelling of 257259017 in words is "two hundred fifty-seven million, two hundred fifty-nine thousand, seventeen".