66937186961 has 2 divisors, whose sum is σ = 66937186962. Its totient is φ = 66937186960.

The previous prime is 66937186933. The next prime is 66937186999. The reversal of 66937186961 is 16968173966.

66937186961 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 55157340736 + 11779846225 = 234856^2 + 108535^2 .

It is a cyclic number.

It is not a de Polignac number, because 66937186961 - 2²² = 66932992657 is a prime.

It is a Sophie Germain prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 66937186894 and 66937186903.

It is not a weakly prime, because it can be changed into another prime (66937186861) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 33468593480 + 33468593481.

It is an arithmetic number, because the mean of its divisors is an integer number (33468593481).

Almost surely, 2^66937186961 is an apocalyptic number.

It is an amenable number.

66937186961 is a deficient number, since it is larger than the sum of its proper divisors (1).

66937186961 is an equidigital number, since it uses as much as digits as its factorization.

66937186961 is an evil number, because the sum of its binary digits is even.

The product of its digits is 17635968, while the sum is 62.

The spelling of 66937186961 in words is "sixty-six billion, nine hundred thirty-seven million, one hundred eighty-six thousand, nine hundred sixty-one".