257513 has 4 divisors (see below), whose sum is σ = 263040. Its totient is φ = 251988.

The previous prime is 257503. The next prime is 257519. The reversal of 257513 is 315752.

It is a semiprime because it is the product of two primes, and also a Blum integer, because the two primes are equal to 3 mod 4.

It is a cyclic number.

It is not a de Polignac number, because 257513 - 2⁴ = 257497 is a prime.

It is an Ulam number.

It is a Duffinian number.

It is a plaindrome in base 14.

It is not an unprimeable number, because it can be changed into a prime (257519) 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 in 3 ways as a sum of consecutive naturals, for example, 2693 + ... + 2786.

It is an arithmetic number, because the mean of its divisors is an integer number (65760).

2²⁵⁷⁵¹³ is an apocalyptic number.

It is an amenable number.

257513 is a deficient number, since it is larger than the sum of its proper divisors (5527).

257513 is an equidigital number, since it uses as much as digits as its factorization.

257513 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5526.

The product of its digits is 1050, while the sum is 23.

The square root of 257513 is about 507.4573873736. The cubic root of 257513 is about 63.6208869599.

It can be divided in two parts, 257 and 513, that multiplied together give a triangular number (131841 = T₅₁₃).

The spelling of 257513 in words is "two hundred fifty-seven thousand, five hundred thirteen".