8005305509 has 2 divisors, whose sum is σ = 8005305510. Its totient is φ = 8005305508.

The previous prime is 8005305433. The next prime is 8005305521. The reversal of 8005305509 is 9055035008.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 7958424100 + 46881409 = 89210^2 + 6847^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-8005305509 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (8005305569) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 4002652754 + 4002652755.

It is an arithmetic number, because the mean of its divisors is an integer number (4002652755).

Almost surely, 2^8005305509 is an apocalyptic number.

It is an amenable number.

8005305509 is a deficient number, since it is larger than the sum of its proper divisors (1).

8005305509 is an equidigital number, since it uses as much as digits as its factorization.

8005305509 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 27000, while the sum is 35.

The square root of 8005305509 is about 89472.3728812420. The cubic root of 8005305509 is about 2000.4420280484.

The spelling of 8005305509 in words is "eight billion, five million, three hundred five thousand, five hundred nine".