5131 has 4 divisors (see below), whose sum is σ = 5872. Its totient is φ = 4392.

The previous prime is 5119. The next prime is 5147. The reversal of 5131 is 1315.

5131 = 24² + 25² + ... + 30².

It is a semiprime because it is the product of two primes, and also an emirpimes, since its reverse is a distinct semiprime: 1315 = 5 ⋅263.

It is a cyclic number.

It is not a de Polignac number, because 5131 - 2⁵ = 5099 is a prime.

It is a super-2 number, since 2×5131² = 52654322, which contains 22 as substring.

It is a Duffinian number.

It is a plaindrome in base 13.

It is not an unprimeable number, because it can be changed into a prime (5101) 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, 360 + ... + 373.

It is an arithmetic number, because the mean of its divisors is an integer number (1468).

2⁵¹³¹ is an apocalyptic number.

5131 is a deficient number, since it is larger than the sum of its proper divisors (741).

5131 is an equidigital number, since it uses as much as digits as its factorization.

5131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 740.

The product of its digits is 15, while the sum is 10.

The square root of 5131 is about 71.6309988762. The cubic root of 5131 is about 17.2478118067.

Adding to 5131 its reverse (1315), we get a palindrome (6446).

It can be divided in two parts, 5 and 131, that added together give a triangular number (136 = T₁₆).

The spelling of 5131 in words is "five thousand, one hundred thirty-one".