508213 has 2 divisors, whose sum is σ = 508214. Its totient is φ = 508212.

The previous prime is 508187. The next prime is 508223. The reversal of 508213 is 312805.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 439569 + 68644 = 663^2 + 262^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-508213 is a prime.

508213 is a lucky number.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (508223) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 254106 + 254107.

It is an arithmetic number, because the mean of its divisors is an integer number (254107).

2⁵⁰⁸²¹³ is an apocalyptic number.

It is an amenable number.

508213 is a deficient number, since it is larger than the sum of its proper divisors (1).

508213 is an equidigital number, since it uses as much as digits as its factorization.

508213 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 240, while the sum is 19.

The square root of 508213 is about 712.8905946918. The cubic root of 508213 is about 79.8022721153.

It can be divided in two parts, 5082 and 13, that multiplied together give a palindrome (66066).

The spelling of 508213 in words is "five hundred eight thousand, two hundred thirteen".