2005322604217 has 2 divisors, whose sum is σ = 2005322604218. Its totient is φ = 2005322604216.

The previous prime is 2005322604167. The next prime is 2005322604223. The reversal of 2005322604217 is 7124062235002.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1959843203136 + 45479401081 = 1399944^2 + 213259^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-2005322604217 is a prime.

It is not a weakly prime, because it can be changed into another prime (2005322604227) 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, 1002661302108 + 1002661302109.

It is an arithmetic number, because the mean of its divisors is an integer number (1002661302109).

Almost surely, 2^{2005322604217} is an apocalyptic number.

It is an amenable number.

2005322604217 is a deficient number, since it is larger than the sum of its proper divisors (1).

2005322604217 is an equidigital number, since it uses as much as digits as its factorization.

2005322604217 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 40320, while the sum is 34.

Adding to 2005322604217 its reverse (7124062235002), we get a palindrome (9129384839219).

The spelling of 2005322604217 in words is "two trillion, five billion, three hundred twenty-two million, six hundred four thousand, two hundred seventeen".