57253 has 4 divisors (see below), whose sum is σ = 65440. Its totient is φ = 49068.

The previous prime is 57251. The next prime is 57259. The reversal of 57253 is 35275.

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 57253 - 2¹ = 57251 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (57251) by changing a digit.

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 3 ways as a sum of consecutive naturals, for example, 4083 + ... + 4096.

It is an arithmetic number, because the mean of its divisors is an integer number (16360).

2⁵⁷²⁵³ is an apocalyptic number.

It is an amenable number.

57253 is a deficient number, since it is larger than the sum of its proper divisors (8187).

57253 is an equidigital number, since it uses as much as digits as its factorization.

57253 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8186.

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

The square root of 57253 is about 239.2759912737. The cubic root of 57253 is about 38.5418670877.

Adding to 57253 its sum of digits (22), we get a palindrome (57275).

It can be divided in two parts, 572 and 53, that added together give a 4-th power (625 = 5⁴).

The spelling of 57253 in words is "fifty-seven thousand, two hundred fifty-three".