257311 has 2 divisors, whose sum is σ = 257312. Its totient is φ = 257310.

The previous prime is 257297. The next prime is 257321. The reversal of 257311 is 113752.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 257311 - 2⁹ = 256799 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (257321) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 128655 + 128656.

It is an arithmetic number, because the mean of its divisors is an integer number (128656).

2²⁵⁷³¹¹ is an apocalyptic number.

257311 is a deficient number, since it is larger than the sum of its proper divisors (1).

257311 is an equidigital number, since it uses as much as digits as its factorization.

257311 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 210, while the sum is 19.

The square root of 257311 is about 507.2583168367. The cubic root of 257311 is about 63.6042473068.

The spelling of 257311 in words is "two hundred fifty-seven thousand, three hundred eleven".