5005193534137 has 2 divisors, whose sum is σ = 5005193534138. Its totient is φ = 5005193534136.

The previous prime is 5005193534111. The next prime is 5005193534161. The reversal of 5005193534137 is 7314353915005.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 4827955902121 + 177237632016 = 2197261^2 + 420996^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-5005193534137 is a prime.

It is not a weakly prime, because it can be changed into another prime (5005193634137) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 2502596767068 + 2502596767069.

It is an arithmetic number, because the mean of its divisors is an integer number (2502596767069).

Almost surely, 2^{5005193534137} is an apocalyptic number.

It is an amenable number.

5005193534137 is a deficient number, since it is larger than the sum of its proper divisors (1).

5005193534137 is an equidigital number, since it uses as much as digits as its factorization.

5005193534137 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 850500, while the sum is 46.

The spelling of 5005193534137 in words is "five trillion, five billion, one hundred ninety-three million, five hundred thirty-four thousand, one hundred thirty-seven".