86116882961 has 2 divisors, whose sum is σ = 86116882962. Its totient is φ = 86116882960.

The previous prime is 86116882927. The next prime is 86116882963. The reversal of 86116882961 is 16928861168.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 81842338561 + 4274544400 = 286081^2 + 65380^2 .

It is a cyclic number.

It is not a de Polignac number, because 86116882961 - 2¹⁸ = 86116620817 is a prime.

It is a super-2 number, since 2×86116882961² (a number of 23 digits) contains 22 as substring.

Together with 86116882963, it forms a pair of twin primes.

It is a Chen prime.

It is a junction number, because it is equal to n+sod(n) for n = 86116882897 and 86116882906.

It is not a weakly prime, because it can be changed into another prime (86116882963) 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, 43058441480 + 43058441481.

It is an arithmetic number, because the mean of its divisors is an integer number (43058441481).

Almost surely, 2^86116882961 is an apocalyptic number.

It is an amenable number.

86116882961 is a deficient number, since it is larger than the sum of its proper divisors (1).

86116882961 is an equidigital number, since it uses as much as digits as its factorization.

86116882961 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 1990656, while the sum is 56.

The spelling of 86116882961 in words is "eighty-six billion, one hundred sixteen million, eight hundred eighty-two thousand, nine hundred sixty-one".