5213 has 4 divisors (see below), whose sum is σ = 5628. Its totient is φ = 4800.

The previous prime is 5209. The next prime is 5227. The reversal of 5213 is 3125.

It is a semiprime because it is the product of two primes.

It can be written as a sum of positive squares in 2 ways, for example, as 3364 + 1849 = 58^2 + 43^2 .

It is a cyclic number.

It is not a de Polignac number, because 5213 - 2² = 5209 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is a plaindrome in base 16.

It is a junction number, because it is equal to n+sod(n) for n = 5194 and 5203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5233) 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 3 ways as a sum of consecutive naturals, for example, 188 + ... + 213.

It is an arithmetic number, because the mean of its divisors is an integer number (1407).

2⁵²¹³ is an apocalyptic number.

It is an amenable number.

5213 is a deficient number, since it is larger than the sum of its proper divisors (415).

5213 is a wasteful number, since it uses less digits than its factorization.

5213 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 414.

The product of its digits is 30, while the sum is 11.

The square root of 5213 is about 72.2011080247. The cubic root of 5213 is about 17.3392074108.

Adding to 5213 its reverse (3125), we get a palindrome (8338).

It can be divided in two parts, 52 and 13, that multiplied together give a palindrome (676).

The spelling of 5213 in words is "five thousand, two hundred thirteen".