12633610166561 has 2 divisors, whose sum is σ = 12633610166562. Its totient is φ = 12633610166560.

The previous prime is 12633610166557. The next prime is 12633610166609. The reversal of 12633610166561 is 16566101633621.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 6523043700625 + 6110566465936 = 2554025^2 + 2471956^2 .

It is a cyclic number.

It is not a de Polignac number, because 12633610166561 - 2² = 12633610166557 is a prime.

It is not a weakly prime, because it can be changed into another prime (12633610166501) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6316805083280 + 6316805083281.

It is an arithmetic number, because the mean of its divisors is an integer number (6316805083281).

Almost surely, 2^{12633610166561} is an apocalyptic number.

It is an amenable number.

12633610166561 is a deficient number, since it is larger than the sum of its proper divisors (1).

12633610166561 is an equidigital number, since it uses as much as digits as its factorization.

12633610166561 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 699840, while the sum is 47.

The spelling of 12633610166561 in words is "twelve trillion, six hundred thirty-three billion, six hundred ten million, one hundred sixty-six thousand, five hundred sixty-one".