2005516515517 has 2 divisors, whose sum is σ = 2005516515518. Its totient is φ = 2005516515516.

The previous prime is 2005516515503. The next prime is 2005516515521. The reversal of 2005516515517 is 7155156155002.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1932973018596 + 72543496921 = 1390314^2 + 269339^2 .

It is a cyclic number.

It is not a de Polignac number, because 2005516515517 - 2³¹ = 2003369031869 is a prime.

It is a super-2 number, since 2×2005516515517² (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (2005516515917) 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, 1002758257758 + 1002758257759.

It is an arithmetic number, because the mean of its divisors is an integer number (1002758257759).

Almost surely, 2^{2005516515517} is an apocalyptic number.

It is an amenable number.

2005516515517 is a deficient number, since it is larger than the sum of its proper divisors (1).

2005516515517 is an equidigital number, since it uses as much as digits as its factorization.

2005516515517 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 262500, while the sum is 43.

The spelling of 2005516515517 in words is "two trillion, five billion, five hundred sixteen million, five hundred fifteen thousand, five hundred seventeen".