509982817 has 2 divisors, whose sum is σ = 509982818. Its totient is φ = 509982816.

The previous prime is 509982787. The next prime is 509982821. The reversal of 509982817 is 718289905.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 422672481 + 87310336 = 20559^2 + 9344^2 .

It is a cyclic number.

It is not a de Polignac number, because 509982817 - 2⁷ = 509982689 is a prime.

It is not a weakly prime, because it can be changed into another prime (509982217) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 254991408 + 254991409.

It is an arithmetic number, because the mean of its divisors is an integer number (254991409).

Almost surely, 2^509982817 is an apocalyptic number.

It is an amenable number.

509982817 is a deficient number, since it is larger than the sum of its proper divisors (1).

509982817 is an equidigital number, since it uses as much as digits as its factorization.

509982817 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 362880, while the sum is 49.

The square root of 509982817 is about 22582.7991400535. The cubic root of 509982817 is about 798.9480010834.

The spelling of 509982817 in words is "five hundred nine million, nine hundred eighty-two thousand, eight hundred seventeen".