9157789782961 has 2 divisors, whose sum is σ = 9157789782962. Its totient is φ = 9157789782960.

The previous prime is 9157789782929. The next prime is 9157789782983. The reversal of 9157789782961 is 1692879877519.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 8325533160000 + 832256622961 = 2885400^2 + 912281^2 .

It is an emirp because it is prime and its reverse (1692879877519) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 9157789782961 - 2⁵ = 9157789782929 is a prime.

It is a super-2 number, since 2×9157789782961² (a number of 27 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (9157789782991) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 4578894891480 + 4578894891481.

It is an arithmetic number, because the mean of its divisors is an integer number (4578894891481).

Almost surely, 2^{9157789782961} is an apocalyptic number.

It is an amenable number.

9157789782961 is a deficient number, since it is larger than the sum of its proper divisors (1).

9157789782961 is an equidigital number, since it uses as much as digits as its factorization.

9157789782961 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 960180480, while the sum is 79.

The spelling of 9157789782961 in words is "nine trillion, one hundred fifty-seven billion, seven hundred eighty-nine million, seven hundred eighty-two thousand, nine hundred sixty-one".