2006009006017 has 2 divisors, whose sum is σ = 2006009006018. Its totient is φ = 2006009006016.

The previous prime is 2006009005997. The next prime is 2006009006069. The reversal of 2006009006017 is 7106009006002.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 1711468349361 + 294540656656 = 1308231^2 + 542716^2 .

It is a cyclic number.

It is not a de Polignac number, because 2006009006017 - 2¹¹ = 2006009003969 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 2006009006017.

It is not a weakly prime, because it can be changed into another prime (2006009016017) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1003004503008 + 1003004503009.

It is an arithmetic number, because the mean of its divisors is an integer number (1003004503009).

Almost surely, 2^{2006009006017} is an apocalyptic number.

It is an amenable number.

2006009006017 is a deficient number, since it is larger than the sum of its proper divisors (1).

2006009006017 is an equidigital number, since it uses as much as digits as its factorization.

2006009006017 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 4536, while the sum is 31.

The spelling of 2006009006017 in words is "two trillion, six billion, nine million, six thousand, seventeen".