31066416961 has 2 divisors, whose sum is σ = 31066416962. Its totient is φ = 31066416960.

The previous prime is 31066416949. The next prime is 31066416971. The reversal of 31066416961 is 16961466013.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 29735553600 + 1330863361 = 172440^2 + 36481^2 .

It is a cyclic number.

It is not a de Polignac number, because 31066416961 - 2⁵ = 31066416929 is a prime.

It is not a weakly prime, because it can be changed into another prime (31066416971) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 15533208480 + 15533208481.

It is an arithmetic number, because the mean of its divisors is an integer number (15533208481).

Almost surely, 2^31066416961 is an apocalyptic number.

It is an amenable number.

31066416961 is a deficient number, since it is larger than the sum of its proper divisors (1).

31066416961 is an equidigital number, since it uses as much as digits as its factorization.

31066416961 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 139968, while the sum is 43.

The spelling of 31066416961 in words is "thirty-one billion, sixty-six million, four hundred sixteen thousand, nine hundred sixty-one".