5005213 has 2 divisors, whose sum is σ = 5005214. Its totient is φ = 5005212.

The previous prime is 5005201. The next prime is 5005219. The reversal of 5005213 is 3125005.

5005213 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 3790809 + 1214404 = 1947^2 + 1102^2 .

It is a cyclic number.

It is not a de Polignac number, because 5005213 - 2¹⁷ = 4874141 is a prime.

It is an Ulam number.

5005213 is a lucky number.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (5005219) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 2502606 + 2502607.

It is an arithmetic number, because the mean of its divisors is an integer number (2502607).

Almost surely, 2^5005213 is an apocalyptic number.

It is an amenable number.

5005213 is a deficient number, since it is larger than the sum of its proper divisors (1).

5005213 is an equidigital number, since it uses as much as digits as its factorization.

5005213 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 150, while the sum is 16.

The square root of 5005213 is about 2237.2333360649. The cubic root of 5005213 is about 171.0570013907.

The spelling of 5005213 in words is "five million, five thousand, two hundred thirteen".