257053 has 2 divisors, whose sum is σ = 257054. Its totient is φ = 257052.

The previous prime is 257017. The next prime is 257069. The reversal of 257053 is 350752.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 257049 + 4 = 507^2 + 2^2 .

It is a cyclic number.

It is not a de Polignac number, because 257053 - 2⁹ = 256541 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (257003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 128526 + 128527.

It is an arithmetic number, because the mean of its divisors is an integer number (128527).

2²⁵⁷⁰⁵³ is an apocalyptic number.

It is an amenable number.

257053 is a deficient number, since it is larger than the sum of its proper divisors (1).

257053 is an equidigital number, since it uses as much as digits as its factorization.

257053 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1050, while the sum is 22.

The square root of 257053 is about 507.0039447578. The cubic root of 257053 is about 63.5829820111.

The spelling of 257053 in words is "two hundred fifty-seven thousand, fifty-three".