2005505055005 has 16 divisors (see below), whose sum is σ = 2428970900400. Its totient is φ = 1589497620480.

The previous prime is 2005505054887. The next prime is 2005505055031. The reversal of 2005505055005 is 5005505055002.

It can be written as a sum of positive squares in 8 ways, for example, as 23722468441 + 1981782586564 = 154021^2 + 1407758^2 .

It is not a de Polignac number, because 2005505055005 - 2¹² = 2005505050909 is a prime.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4512365 + ... + 4936845.

It is an arithmetic number, because the mean of its divisors is an integer number (151810681275).

Almost surely, 2^{2005505055005} is an apocalyptic number.

It is an amenable number.

2005505055005 is a deficient number, since it is larger than the sum of its proper divisors (423465845395).

2005505055005 is a wasteful number, since it uses less digits than its factorization.

2005505055005 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 433264.

The product of its (nonzero) digits is 31250, while the sum is 32.

The spelling of 2005505055005 in words is "two trillion, five billion, five hundred five million, fifty-five thousand, five".