5319 has 8 divisors (see below), whose sum is σ = 7920. Its totient is φ = 3528.

The previous prime is 5309. The next prime is 5323. The reversal of 5319 is 9135.

It is not a de Polignac number, because 5319 - 2⁴ = 5303 is a prime.

It is a super-2 number, since 2×5319² = 56583522, which contains 22 as substring.

5319 is an undulating number in base 14.

It is a plaindrome in base 15.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 5319.

It is not an unprimeable number, because it can be changed into a prime (5309) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 72 + ... + 125.

It is an arithmetic number, because the mean of its divisors is an integer number (990).

2⁵³¹⁹ is an apocalyptic number.

5319 is a deficient number, since it is larger than the sum of its proper divisors (2601).

5319 is a wasteful number, since it uses less digits than its factorization.

5319 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 206 (or 200 counting only the distinct ones).

The product of its digits is 135, while the sum is 18.

The square root of 5319 is about 72.9314746869. The cubic root of 5319 is about 17.4559436025.

Subtracting from 5319 its product of digits (135), we obtain a square (5184 = 72²).

It can be divided in two parts, 5 and 319, that added together give a square (324 = 18²).

The spelling of 5319 in words is "five thousand, three hundred nineteen".