5257 has 4 divisors (see below), whose sum is σ = 6016. Its totient is φ = 4500.

The previous prime is 5237. The next prime is 5261. The reversal of 5257 is 7525.

It is a happy number.

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 5257 - 2¹¹ = 3209 is a prime.

It is the 73-rd Hogben number.

It is a Duffinian number.

It is a plaindrome in base 16.

It is not an unprimeable number, because it can be changed into a prime (5227) by changing a digit.

It is a nontrivial repunit in base 72.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 369 + ... + 382.

It is an arithmetic number, because the mean of its divisors is an integer number (1504).

2⁵²⁵⁷ is an apocalyptic number.

It is an amenable number.

5257 is a deficient number, since it is larger than the sum of its proper divisors (759).

5257 is an equidigital number, since it uses as much as digits as its factorization.

5257 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 758.

The product of its digits is 350, while the sum is 19.

The square root of 5257 is about 72.5051722293. The cubic root of 5257 is about 17.3878542975.

It can be divided in two parts, 5 and 257, that added together give a palindrome (262).

The spelling of 5257 in words is "five thousand, two hundred fifty-seven".