509938417 has 2 divisors, whose sum is σ = 509938418. Its totient is φ = 509938416.

The previous prime is 509938399. The next prime is 509938427. The reversal of 509938417 is 714839905.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 475937856 + 34000561 = 21816^2 + 5831^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-509938417 is a prime.

It is not a weakly prime, because it can be changed into another prime (509938427) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 254969208 + 254969209.

It is an arithmetic number, because the mean of its divisors is an integer number (254969209).

Almost surely, 2^509938417 is an apocalyptic number.

It is an amenable number.

509938417 is a deficient number, since it is larger than the sum of its proper divisors (1).

509938417 is an equidigital number, since it uses as much as digits as its factorization.

509938417 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 272160, while the sum is 46.

The square root of 509938417 is about 22581.8160695724. The cubic root of 509938417 is about 798.9248144716.

The spelling of 509938417 in words is "five hundred nine million, nine hundred thirty-eight thousand, four hundred seventeen".