509534311817 has 2 divisors, whose sum is σ = 509534311818. Its totient is φ = 509534311816.

The previous prime is 509534311789. The next prime is 509534311849. The reversal of 509534311817 is 718113435905.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 508042498441 + 1491813376 = 712771^2 + 38624^2 .

It is a cyclic number.

It is not a de Polignac number, because 509534311817 - 2¹² = 509534307721 is a prime.

It is not a weakly prime, because it can be changed into another prime (509534311217) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 254767155908 + 254767155909.

It is an arithmetic number, because the mean of its divisors is an integer number (254767155909).

Almost surely, 2^509534311817 is an apocalyptic number.

It is an amenable number.

509534311817 is a deficient number, since it is larger than the sum of its proper divisors (1).

509534311817 is an equidigital number, since it uses as much as digits as its factorization.

509534311817 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 453600, while the sum is 47.

The spelling of 509534311817 in words is "five hundred nine billion, five hundred thirty-four million, three hundred eleven thousand, eight hundred seventeen".