257553 has 8 divisors (see below), whose sum is σ = 381600. Its totient is φ = 171684.

The previous prime is 257539. The next prime is 257561. The reversal of 257553 is 355752.

It is not a de Polignac number, because 257553 - 2⁶ = 257489 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27), and also a Moran number because the ratio is a prime number: 9539 = 257553 / (2 + 5 + 7 + 5 + 5 + 3).

It is a d-powerful number, because it can be written as 2¹⁰ + 5⁴ + 5⁴ + 7 + 5⁷ + 3¹¹ .

257553 is a lucky number.

It is not an unprimeable number, because it can be changed into a prime (257503) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4743 + ... + 4796.

It is an arithmetic number, because the mean of its divisors is an integer number (47700).

2²⁵⁷⁵⁵³ is an apocalyptic number.

It is an amenable number.

257553 is a deficient number, since it is larger than the sum of its proper divisors (124047).

257553 is an equidigital number, since it uses as much as digits as its factorization.

257553 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9548 (or 9542 counting only the distinct ones).

The product of its digits is 5250, while the sum is 27.

The square root of 257553 is about 507.4967980195. The cubic root of 257553 is about 63.6241809084.

It can be divided in two parts, 2575 and 53, that added together give a triangular number (2628 = T₇₂).

The spelling of 257553 in words is "two hundred fifty-seven thousand, five hundred fifty-three".