257530 has 32 divisors (see below), whose sum is σ = 572544. Its totient is φ = 81216.

The previous prime is 257519. The next prime is 257539. The reversal of 257530 is 35752.

257530 = T₂₅ + T₂₆ + ... + T₁₁₅.

257530 is nontrivially palindromic in base 9.

It is an Ulam number.

It is not an unprimeable number, because it can be changed into a prime (257539) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 769 + ... + 1051.

It is an arithmetic number, because the mean of its divisors is an integer number (17892).

2²⁵⁷⁵³⁰ is an apocalyptic number.

257530 is an abundant number, since it is smaller than the sum of its proper divisors (315014).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

257530 is a wasteful number, since it uses less digits than its factorization.

257530 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 310.

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

The square root of 257530 is about 507.4741372720. The cubic root of 257530 is about 63.6222869297.

It can be divided in two parts, 257 and 530, that added together give a palindrome (787).

The spelling of 257530 in words is "two hundred fifty-seven thousand, five hundred thirty".