66105115060001 has 2 divisors, whose sum is σ = 66105115060002. Its totient is φ = 66105115060000.

The previous prime is 66105115059979. The next prime is 66105115060013. The reversal of 66105115060001 is 10006051150166.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 61956560820001 + 4148554240000 = 7871249^2 + 2036800^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-66105115060001 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 66105115060001.

It is not a weakly prime, because it can be changed into another prime (66105115060031) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 33052557530000 + 33052557530001.

It is an arithmetic number, because the mean of its divisors is an integer number (33052557530001).

Almost surely, 2^{66105115060001} is an apocalyptic number.

It is an amenable number.

66105115060001 is a deficient number, since it is larger than the sum of its proper divisors (1).

66105115060001 is an equidigital number, since it uses as much as digits as its factorization.

66105115060001 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 5400, while the sum is 32.

The spelling of 66105115060001 in words is "sixty-six trillion, one hundred five billion, one hundred fifteen million, sixty thousand, one".