41566541305117 has 2 divisors, whose sum is σ = 41566541305118. Its totient is φ = 41566541305116.

The previous prime is 41566541305067. The next prime is 41566541305129. The reversal of 41566541305117 is 71150314566514.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 41002583862276 + 563957442841 = 6403326^2 + 750971^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-41566541305117 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (41566541305417) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 20783270652558 + 20783270652559.

It is an arithmetic number, because the mean of its divisors is an integer number (20783270652559).

Almost surely, 2^{41566541305117} is an apocalyptic number.

It is an amenable number.

41566541305117 is a deficient number, since it is larger than the sum of its proper divisors (1).

41566541305117 is an equidigital number, since it uses as much as digits as its factorization.

41566541305117 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1512000, while the sum is 49.

The spelling of 41566541305117 in words is "forty-one trillion, five hundred sixty-six billion, five hundred forty-one million, three hundred five thousand, one hundred seventeen".