509906017 has 2 divisors, whose sum is σ = 509906018. Its totient is φ = 509906016.

The previous prime is 509906003. The next prime is 509906027. The reversal of 509906017 is 710609905.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 414570321 + 95335696 = 20361^2 + 9764^2 .

It is a cyclic number.

It is not a de Polignac number, because 509906017 - 2²³ = 501517409 is a prime.

It is not a weakly prime, because it can be changed into another prime (509906027) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 254953008 + 254953009.

It is an arithmetic number, because the mean of its divisors is an integer number (254953009).

Almost surely, 2^509906017 is an apocalyptic number.

It is an amenable number.

509906017 is a deficient number, since it is larger than the sum of its proper divisors (1).

509906017 is an equidigital number, since it uses as much as digits as its factorization.

509906017 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 17010, while the sum is 37.

The square root of 509906017 is about 22581.0986668054. The cubic root of 509906017 is about 798.9078936623.

The spelling of 509906017 in words is "five hundred nine million, nine hundred six thousand, seventeen".