508805993 has 2 divisors, whose sum is σ = 508805994. Its totient is φ = 508805992.

The previous prime is 508805963. The next prime is 508806017. The reversal of 508805993 is 399508805.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 395532544 + 113273449 = 19888^2 + 10643^2 .

It is a cyclic number.

It is not a de Polignac number, because 508805993 - 2¹⁰ = 508804969 is a prime.

It is not a weakly prime, because it can be changed into another prime (508805923) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 254402996 + 254402997.

It is an arithmetic number, because the mean of its divisors is an integer number (254402997).

Almost surely, 2^508805993 is an apocalyptic number.

It is an amenable number.

508805993 is a deficient number, since it is larger than the sum of its proper divisors (1).

508805993 is an equidigital number, since it uses as much as digits as its factorization.

508805993 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 388800, while the sum is 47.

The square root of 508805993 is about 22556.7283310324. The cubic root of 508805993 is about 798.3329834199.

The spelling of 508805993 in words is "five hundred eight million, eight hundred five thousand, nine hundred ninety-three".