508578313 has 2 divisors, whose sum is σ = 508578314. Its totient is φ = 508578312.

The previous prime is 508578271. The next prime is 508578337. The reversal of 508578313 is 313875805.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 320696464 + 187881849 = 17908^2 + 13707^2 .

It is a cyclic number.

It is not a de Polignac number, because 508578313 - 2²¹ = 506481161 is a prime.

It is not a weakly prime, because it can be changed into another prime (508578013) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 254289156 + 254289157.

It is an arithmetic number, because the mean of its divisors is an integer number (254289157).

Almost surely, 2^508578313 is an apocalyptic number.

It is an amenable number.

508578313 is a deficient number, since it is larger than the sum of its proper divisors (1).

508578313 is an equidigital number, since it uses as much as digits as its factorization.

508578313 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 100800, while the sum is 40.

The square root of 508578313 is about 22551.6809351321. The cubic root of 508578313 is about 798.2138865704.

The spelling of 508578313 in words is "five hundred eight million, five hundred seventy-eight thousand, three hundred thirteen".