966512681 has 2 divisors, whose sum is σ = 966512682. Its totient is φ = 966512680.

The previous prime is 966512641. The next prime is 966512683. The reversal of 966512681 is 186215669.

966512681 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 963481600 + 3031081 = 31040^2 + 1741^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-966512681 is a prime.

It is a super-2 number, since 2×966512681² = 1868293525067615522, which contains 22 as substring.

Together with 966512683, it forms a pair of twin primes.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (966512683) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 483256340 + 483256341.

It is an arithmetic number, because the mean of its divisors is an integer number (483256341).

Almost surely, 2^966512681 is an apocalyptic number.

It is an amenable number.

966512681 is a deficient number, since it is larger than the sum of its proper divisors (1).

966512681 is an equidigital number, since it uses as much as digits as its factorization.

966512681 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 155520, while the sum is 44.

The square root of 966512681 is about 31088.7870622191. The cubic root of 966512681 is about 988.7105891508.

The spelling of 966512681 in words is "nine hundred sixty-six million, five hundred twelve thousand, six hundred eighty-one".