509708677097 has 2 divisors, whose sum is σ = 509708677098. Its totient is φ = 509708677096.

The previous prime is 509708677087. The next prime is 509708677147. The reversal of 509708677097 is 790776807905.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 497717551081 + 11991126016 = 705491^2 + 109504^2 .

It is a cyclic number.

It is not a de Polignac number, because 509708677097 - 2¹⁰ = 509708676073 is a prime.

It is not a weakly prime, because it can be changed into another prime (509708677087) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 254854338548 + 254854338549.

It is an arithmetic number, because the mean of its divisors is an integer number (254854338549).

Almost surely, 2^509708677097 is an apocalyptic number.

It is an amenable number.

509708677097 is a deficient number, since it is larger than the sum of its proper divisors (1).

509708677097 is an equidigital number, since it uses as much as digits as its factorization.

509708677097 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 46675440, while the sum is 65.

The spelling of 509708677097 in words is "five hundred nine billion, seven hundred eight million, six hundred seventy-seven thousand, ninety-seven".