257503 has 2 divisors, whose sum is σ = 257504. Its totient is φ = 257502.

The previous prime is 257501. The next prime is 257519. The reversal of 257503 is 305752.

It is a weak prime.

It is a cyclic number.

It is not a de Polignac number, because 257503 - 2¹ = 257501 is a prime.

Together with 257501, it forms a pair of twin primes.

257503 is a lucky number.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (257501) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 128751 + 128752.

It is an arithmetic number, because the mean of its divisors is an integer number (128752).

2²⁵⁷⁵⁰³ is an apocalyptic number.

257503 is a deficient number, since it is larger than the sum of its proper divisors (1).

257503 is an equidigital number, since it uses as much as digits as its factorization.

257503 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 257503 is about 507.4475342338. The cubic root of 257503 is about 63.6200634194.

The spelling of 257503 in words is "two hundred fifty-seven thousand, five hundred three".