2006009005997 has 2 divisors, whose sum is σ = 2006009005998. Its totient is φ = 2006009005996.

The previous prime is 2006009005993. The next prime is 2006009006017. The reversal of 2006009005997 is 7995009006002.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 1383884020996 + 622124985001 = 1176386^2 + 788749^2 .

It is a cyclic number.

It is not a de Polignac number, because 2006009005997 - 2² = 2006009005993 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (2006009005991) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1003004502998 + 1003004502999.

It is an arithmetic number, because the mean of its divisors is an integer number (1003004502999).

Almost surely, 2^{2006009005997} is an apocalyptic number.

It is an amenable number.

2006009005997 is a deficient number, since it is larger than the sum of its proper divisors (1).

2006009005997 is an equidigital number, since it uses as much as digits as its factorization.

2006009005997 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 306180, while the sum is 47.

The spelling of 2006009005997 in words is "two trillion, six billion, nine million, five thousand, nine hundred ninety-seven".