6005188784137 has 2 divisors, whose sum is σ = 6005188784138. Its totient is φ = 6005188784136.

The previous prime is 6005188784123. The next prime is 6005188784141. The reversal of 6005188784137 is 7314878815006.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 3869466673216 + 2135722110921 = 1967096^2 + 1461411^2 .

It is a cyclic number.

It is not a de Polignac number, because 6005188784137 - 2²⁷ = 6005054566409 is a prime.

It is not a weakly prime, because it can be changed into another prime (6005188784107) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 3002594392068 + 3002594392069.

It is an arithmetic number, because the mean of its divisors is an integer number (3002594392069).

Almost surely, 2^{6005188784137} is an apocalyptic number.

It is an amenable number.

6005188784137 is a deficient number, since it is larger than the sum of its proper divisors (1).

6005188784137 is an equidigital number, since it uses as much as digits as its factorization.

6005188784137 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 9031680, while the sum is 58.

The spelling of 6005188784137 in words is "six trillion, five billion, one hundred eighty-eight million, seven hundred eighty-four thousand, one hundred thirty-seven".