2005516515823 has 2 divisors, whose sum is σ = 2005516515824. Its totient is φ = 2005516515822.

The previous prime is 2005516515703. The next prime is 2005516515851. The reversal of 2005516515823 is 3285156155002.

It is a happy number.

It is a strong prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-2005516515823 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 2005516515823.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (2005516512823) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1002758257911 + 1002758257912.

It is an arithmetic number, because the mean of its divisors is an integer number (1002758257912).

Almost surely, 2^{2005516515823} is an apocalyptic number.

2005516515823 is a deficient number, since it is larger than the sum of its proper divisors (1).

2005516515823 is an equidigital number, since it uses as much as digits as its factorization.

2005516515823 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 360000, while the sum is 43.

The spelling of 2005516515823 in words is "two trillion, five billion, five hundred sixteen million, five hundred fifteen thousand, eight hundred twenty-three".