9975085117 has 2 divisors, whose sum is σ = 9975085118. Its totient is φ = 9975085116.

The previous prime is 9975085103. The next prime is 9975085129. The reversal of 9975085117 is 7115805799.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 9414626841 + 560458276 = 97029^2 + 23674^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-9975085117 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (9975086117) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 4987542558 + 4987542559.

It is an arithmetic number, because the mean of its divisors is an integer number (4987542559).

Almost surely, 2^9975085117 is an apocalyptic number.

It is an amenable number.

9975085117 is a deficient number, since it is larger than the sum of its proper divisors (1).

9975085117 is an equidigital number, since it uses as much as digits as its factorization.

9975085117 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 793800, while the sum is 52.

The square root of 9975085117 is about 99875.3478942627. The cubic root of 9975085117 is about 2152.6439523991.

The spelling of 9975085117 in words is "nine billion, nine hundred seventy-five million, eighty-five thousand, one hundred seventeen".