5205213 has 24 divisors (see below), whose sum is σ = 8576568. Its totient is φ = 3013632.

The previous prime is 5205173. The next prime is 5205227. The reversal of 5205213 is 3125025.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 1954404 + 3250809 = 1398^2 + 1803^2 .

It is not a de Polignac number, because 5205213 - 2⁶ = 5205149 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5205253) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 681 + ... + 3297.

It is an arithmetic number, because the mean of its divisors is an integer number (357357).

Almost surely, 2^5205213 is an apocalyptic number.

It is an amenable number.

5205213 is a deficient number, since it is larger than the sum of its proper divisors (3371355).

5205213 is a wasteful number, since it uses less digits than its factorization.

5205213 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2653 (or 2650 counting only the distinct ones).

The product of its (nonzero) digits is 300, while the sum is 18.

The square root of 5205213 is about 2281.4935897346. The cubic root of 5205213 is about 173.3056953797.

It can be divided in two parts, 52052 and 13, that multiplied together give a palindrome (676676).

The spelling of 5205213 in words is "five million, two hundred five thousand, two hundred thirteen".