2005516515717 has 40 divisors (see below), whose sum is σ = 3519652936800. Its totient is φ = 1121967275040.

The previous prime is 2005516515703. The next prime is 2005516515823. The reversal of 2005516515717 is 7175156155002.

2005516515717 is a `hidden beast` number, since 2 + 0 + 0 + 55 + 16 + 515 + 71 + 7 = 666.

It is not a de Polignac number, because 2005516515717 - 2²⁶ = 2005449406853 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2005516515517) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 86559967 + ... + 86583132.

It is an arithmetic number, because the mean of its divisors is an integer number (87991323420).

Almost surely, 2^{2005516515717} is an apocalyptic number.

2005516515717 is a gapful number since it is divisible by the number (27) formed by its first and last digit.

It is an amenable number.

2005516515717 is a deficient number, since it is larger than the sum of its proper divisors (1514136421083).

2005516515717 is a wasteful number, since it uses less digits than its factorization.

2005516515717 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 173143135 (or 173143126 counting only the distinct ones).

The product of its (nonzero) digits is 367500, while the sum is 45.

The spelling of 2005516515717 in words is "two trillion, five billion, five hundred sixteen million, five hundred fifteen thousand, seven hundred seventeen".