5251 has 4 divisors (see below), whose sum is σ = 5400. Its totient is φ = 5104.

The previous prime is 5237. The next prime is 5261. The reversal of 5251 is 1525.

It is a semiprime because it is the product of two primes, and also a brilliant number, because the two primes have the same length.

It is a cyclic number.

It is not a de Polignac number, because 5251 - 2¹¹ = 3203 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (5231) by changing a digit.

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, 15 + ... + 103.

It is an arithmetic number, because the mean of its divisors is an integer number (1350).

2⁵²⁵¹ is an apocalyptic number.

5251 is a deficient number, since it is larger than the sum of its proper divisors (149).

5251 is an equidigital number, since it uses as much as digits as its factorization.

5251 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 148.

The product of its digits is 50, while the sum is 13.

The square root of 5251 is about 72.4637840580. The cubic root of 5251 is about 17.3812366549.

Adding to 5251 its reverse (1525), we get a palindrome (6776).

It can be divided in two parts, 5 and 251, that added together give a 8-th power (256 = 2⁸).

The spelling of 5251 in words is "five thousand, two hundred fifty-one".