9966583309 has 2 divisors, whose sum is σ = 9966583310. Its totient is φ = 9966583308.

The previous prime is 9966583279. The next prime is 9966583331. The reversal of 9966583309 is 9033856699.

9966583309 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 6018346084 + 3948237225 = 77578^2 + 62835^2 .

It is a cyclic number.

It is not a de Polignac number, because 9966583309 - 2⁹ = 9966582797 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (9966583339) 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, 4983291654 + 4983291655.

It is an arithmetic number, because the mean of its divisors is an integer number (4983291655).

Almost surely, 2^9966583309 is an apocalyptic number.

It is an amenable number.

9966583309 is a deficient number, since it is larger than the sum of its proper divisors (1).

9966583309 is an equidigital number, since it uses as much as digits as its factorization.

9966583309 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 9447840, while the sum is 58.

The square root of 9966583309 is about 99832.7767268846. The cubic root of 9966583309 is about 2152.0322093322.

The spelling of 9966583309 in words is "nine billion, nine hundred sixty-six million, five hundred eighty-three thousand, three hundred nine".