9983657959601 has 2 divisors, whose sum is σ = 9983657959602. Its totient is φ = 9983657959600.

The previous prime is 9983657959589. The next prime is 9983657959607. The reversal of 9983657959601 is 1069597563899.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 8760421959601 + 1223236000000 = 2959801^2 + 1106000^2 .

It is an emirp because it is prime and its reverse (1069597563899) is a distict prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-9983657959601 is a prime.

It is a Sophie Germain prime.

It is a Curzon number.

It is not a weakly prime, because it can be changed into another prime (9983657959607) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 4991828979800 + 4991828979801.

It is an arithmetic number, because the mean of its divisors is an integer number (4991828979801).

Almost surely, 2^{9983657959601} is an apocalyptic number.

It is an amenable number.

9983657959601 is a deficient number, since it is larger than the sum of its proper divisors (1).

9983657959601 is an equidigital number, since it uses as much as digits as its factorization.

9983657959601 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 992023200, while the sum is 77.

The spelling of 9983657959601 in words is "nine trillion, nine hundred eighty-three billion, six hundred fifty-seven million, nine hundred fifty-nine thousand, six hundred one".