10044580564517 has 2 divisors, whose sum is σ = 10044580564518. Its totient is φ = 10044580564516.

The previous prime is 10044580564457. The next prime is 10044580564519. The reversal of 10044580564517 is 71546508544001.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 8985329982916 + 1059250581601 = 2997554^2 + 1029199^2 .

It is a cyclic number.

It is not a de Polignac number, because 10044580564517 - 2⁸ = 10044580564261 is a prime.

Together with 10044580564519, it forms a pair of twin primes.

It is a Chen prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10044580564519) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5022290282258 + 5022290282259.

It is an arithmetic number, because the mean of its divisors is an integer number (5022290282259).

Almost surely, 2^{10044580564517} is an apocalyptic number.

It is an amenable number.

10044580564517 is a deficient number, since it is larger than the sum of its proper divisors (1).

10044580564517 is an equidigital number, since it uses as much as digits as its factorization.

10044580564517 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2688000, while the sum is 50.

The spelling of 10044580564517 in words is "ten trillion, forty-four billion, five hundred eighty million, five hundred sixty-four thousand, five hundred seventeen".