86953895812961 has 2 divisors, whose sum is σ = 86953895812962. Its totient is φ = 86953895812960.

The previous prime is 86953895812943. The next prime is 86953895812969. The reversal of 86953895812961 is 16921859835968.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 56628168478561 + 30325727334400 = 7525169^2 + 5506880^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-86953895812961 is a prime.

It is not a weakly prime, because it can be changed into another prime (86953895812969) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 43476947906480 + 43476947906481.

It is an arithmetic number, because the mean of its divisors is an integer number (43476947906481).

Almost surely, 2^{86953895812961} is an apocalyptic number.

It is an amenable number.

86953895812961 is a deficient number, since it is larger than the sum of its proper divisors (1).

86953895812961 is an equidigital number, since it uses as much as digits as its factorization.

86953895812961 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 2015539200, while the sum is 80.

The spelling of 86953895812961 in words is "eighty-six trillion, nine hundred fifty-three billion, eight hundred ninety-five million, eight hundred twelve thousand, nine hundred sixty-one".