9968775601 has 2 divisors, whose sum is σ = 9968775602. Its totient is φ = 9968775600.

The previous prime is 9968775599. The next prime is 9968775631. The reversal of 9968775601 is 1065778699.

9968775601 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 9072372001 + 896403600 = 95249^2 + 29940^2 .

It is a cyclic number.

It is not a de Polignac number, because 9968775601 - 2¹ = 9968775599 is a prime.

It is a super-2 number, since 2×9968775601² (a number of 21 digits) contains 22 as substring.

Together with 9968775599, it forms a pair of twin primes.

It is not a weakly prime, because it can be changed into another prime (9968775631) 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, 4984387800 + 4984387801.

It is an arithmetic number, because the mean of its divisors is an integer number (4984387801).

Almost surely, 2^9968775601 is an apocalyptic number.

It is an amenable number.

9968775601 is a deficient number, since it is larger than the sum of its proper divisors (1).

9968775601 is an equidigital number, since it uses as much as digits as its factorization.

9968775601 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 5715360, while the sum is 58.

The square root of 9968775601 is about 99843.7559439748. The cubic root of 9968775601 is about 2152.1899878129.

The spelling of 9968775601 in words is "nine billion, nine hundred sixty-eight million, seven hundred seventy-five thousand, six hundred one".