509414993 has 2 divisors, whose sum is σ = 509414994. Its totient is φ = 509414992.

The previous prime is 509414981. The next prime is 509415007. The reversal of 509414993 is 399414905.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 507691024 + 1723969 = 22532^2 + 1313^2 .

It is a cyclic number.

It is not a de Polignac number, because 509414993 - 2¹⁰ = 509413969 is a prime.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (509414923) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 254707496 + 254707497.

It is an arithmetic number, because the mean of its divisors is an integer number (254707497).

Almost surely, 2^509414993 is an apocalyptic number.

It is an amenable number.

509414993 is a deficient number, since it is larger than the sum of its proper divisors (1).

509414993 is an equidigital number, since it uses as much as digits as its factorization.

509414993 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 174960, while the sum is 44.

The square root of 509414993 is about 22570.2235921579. The cubic root of 509414993 is about 798.6513699613.

The spelling of 509414993 in words is "five hundred nine million, four hundred fourteen thousand, nine hundred ninety-three".