257130 has 24 divisors (see below), whose sum is σ = 668772. Its totient is φ = 68544.

The previous prime is 257123. The next prime is 257141. The reversal of 257130 is 31752.

It can be written as a sum of positive squares in 2 ways, for example, as 257049 + 81 = 507^2 + 9^2 .

It is a super-2 number, since 2×257130² = 132231673800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

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 in 11 ways as a sum of consecutive naturals, for example, 1339 + ... + 1518.

2²⁵⁷¹³⁰ is an apocalyptic number.

257130 is an abundant number, since it is smaller than the sum of its proper divisors (411642).

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

257130 is a wasteful number, since it uses less digits than its factorization.

257130 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2870 (or 2867 counting only the distinct ones).

The product of its (nonzero) digits is 210, while the sum is 18.

The square root of 257130 is about 507.0798753648. The cubic root of 257130 is about 63.5893301194.

Adding to 257130 its reverse (31752), we get a palindrome (288882).

It can be divided in two parts, 2571 and 30, that added together give a square (2601 = 51²).

The spelling of 257130 in words is "two hundred fifty-seven thousand, one hundred thirty".