508780117 has 2 divisors, whose sum is σ = 508780118. Its totient is φ = 508780116.

The previous prime is 508780109. The next prime is 508780163. The reversal of 508780117 is 711087805.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 493106436 + 15673681 = 22206^2 + 3959^2 .

It is a cyclic number.

It is not a de Polignac number, because 508780117 - 2³ = 508780109 is a prime.

It is equal to p_26793514 and since 508780117 and 26793514 have the same sum of digits, it is a Honaker prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (508784117) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 254390058 + 254390059.

It is an arithmetic number, because the mean of its divisors is an integer number (254390059).

Almost surely, 2^508780117 is an apocalyptic number.

It is an amenable number.

508780117 is a deficient number, since it is larger than the sum of its proper divisors (1).

508780117 is an equidigital number, since it uses as much as digits as its factorization.

508780117 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 15680, while the sum is 37.

The square root of 508780117 is about 22556.1547476515. The cubic root of 508780117 is about 798.3194497648.

It can be divided in two parts, 508 and 780117, that added together give a triangular number (780625 = T₁₂₄₉).

The spelling of 508780117 in words is "five hundred eight million, seven hundred eighty thousand, one hundred seventeen".