257551 has 4 divisors (see below), whose sum is σ = 294352. Its totient is φ = 220752.

The previous prime is 257539. The next prime is 257561. The reversal of 257551 is 155752.

257551 = T₁₄₆ + T₁₄₇ + ... + T₁₆₆.

It is a happy number.

It is a semiprime because it is the product of two primes.

It is not a de Polignac number, because 257551 - 2⁵ = 257519 is a prime.

It is a Duffinian number.

257551 is a lucky number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (257501) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 18390 + ... + 18403.

It is an arithmetic number, because the mean of its divisors is an integer number (73588).

2²⁵⁷⁵⁵¹ is an apocalyptic number.

257551 is a deficient number, since it is larger than the sum of its proper divisors (36801).

257551 is an equidigital number, since it uses as much as digits as its factorization.

257551 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36800.

The product of its digits is 1750, while the sum is 25.

The square root of 257551 is about 507.4948275598. The cubic root of 257551 is about 63.6240162191.

It can be divided in two parts, 257 and 551, that added together give a palindrome (808).

The spelling of 257551 in words is "two hundred fifty-seven thousand, five hundred fifty-one".