2005113112417 has 2 divisors, whose sum is σ = 2005113112418. Its totient is φ = 2005113112416.

The previous prime is 2005113112411. The next prime is 2005113112439. The reversal of 2005113112417 is 7142113115002.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 1831431716416 + 173681396001 = 1353304^2 + 416751^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-2005113112417 is a prime.

It is not a weakly prime, because it can be changed into another prime (2005113112411) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1002556556208 + 1002556556209.

It is an arithmetic number, because the mean of its divisors is an integer number (1002556556209).

Almost surely, 2^{2005113112417} is an apocalyptic number.

It is an amenable number.

2005113112417 is a deficient number, since it is larger than the sum of its proper divisors (1).

2005113112417 is an equidigital number, since it uses as much as digits as its factorization.

2005113112417 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1680, while the sum is 28.

Adding to 2005113112417 its reverse (7142113115002), we get a palindrome (9147226227419).

The spelling of 2005113112417 in words is "two trillion, five billion, one hundred thirteen million, one hundred twelve thousand, four hundred seventeen".