505322813 has 2 divisors, whose sum is σ = 505322814. Its totient is φ = 505322812.

The previous prime is 505322791. The next prime is 505322821. The reversal of 505322813 is 318223505.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 471193849 + 34128964 = 21707^2 + 5842^2 .

It is a cyclic number.

It is not a de Polignac number, because 505322813 - 2²⁰ = 504274237 is a prime.

It is a super-2 number, since 2×505322813² = 510702290676465938, which contains 22 as substring.

It is a Sophie Germain prime.

It is a Chen prime.

It is a Curzon number.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (505322113) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 252661406 + 252661407.

It is an arithmetic number, because the mean of its divisors is an integer number (252661407).

Almost surely, 2^505322813 is an apocalyptic number.

It is an amenable number.

505322813 is a deficient number, since it is larger than the sum of its proper divisors (1).

505322813 is an equidigital number, since it uses as much as digits as its factorization.

505322813 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 7200, while the sum is 29.

The square root of 505322813 is about 22479.3864017682. The cubic root of 505322813 is about 796.5070699326.

The spelling of 505322813 in words is "five hundred five million, three hundred twenty-two thousand, eight hundred thirteen".