10044133127617 has 2 divisors, whose sum is σ = 10044133127618. Its totient is φ = 10044133127616.

The previous prime is 10044133127593. The next prime is 10044133127621. The reversal of 10044133127617 is 71672133144001.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 8819925866896 + 1224207260721 = 2969836^2 + 1106439^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-10044133127617 is a prime.

It is a super-2 number, since 2×10044133127617² (a number of 27 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 10044133127617.

It is not a weakly prime, because it can be changed into another prime (10044133127627) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5022066563808 + 5022066563809.

It is an arithmetic number, because the mean of its divisors is an integer number (5022066563809).

Almost surely, 2^{10044133127617} is an apocalyptic number.

It is an amenable number.

10044133127617 is a deficient number, since it is larger than the sum of its proper divisors (1).

10044133127617 is an equidigital number, since it uses as much as digits as its factorization.

10044133127617 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 84672, while the sum is 40.

The spelling of 10044133127617 in words is "ten trillion, forty-four billion, one hundred thirty-three million, one hundred twenty-seven thousand, six hundred seventeen".