5313 has 16 divisors (see below), whose sum is σ = 9216. Its totient is φ = 2640.

The previous prime is 5309. The next prime is 5323. The reversal of 5313 is 3135.

It is a happy number.

It is not a de Polignac number, because 5313 - 2² = 5309 is a prime.

It is a Curzon number.

It is a plaindrome in base 13.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 5313.

It is not an unprimeable number, because it can be changed into a prime (5303) 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 15 ways as a sum of consecutive naturals, for example, 220 + ... + 242.

It is an arithmetic number, because the mean of its divisors is an integer number (576).

2⁵³¹³ is an apocalyptic number.

It is an amenable number.

5313 is a deficient number, since it is larger than the sum of its proper divisors (3903).

5313 is a wasteful number, since it uses less digits than its factorization.

5313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 44.

The product of its digits is 45, while the sum is 12.

The square root of 5313 is about 72.8903285766. The cubic root of 5313 is about 17.4493775144.

Adding to 5313 its reverse (3135), we get a palindrome (8448).

It can be divided in two parts, 53 and 13, that added together give a palindrome (66).

The spelling of 5313 in words is "five thousand, three hundred thirteen".