2005204065305 has 24 divisors (see below), whose sum is σ = 2799163099008. Its totient is φ = 1374966659808.

The previous prime is 2005204065299. The next prime is 2005204065331. The reversal of 2005204065305 is 5035604025002.

It is not a de Polignac number, because 2005204065305 - 2³⁶ = 1936484588569 is a prime.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 21402272 + ... + 21495758.

It is an arithmetic number, because the mean of its divisors is an integer number (116631795792).

Almost surely, 2^{2005204065305} is an apocalyptic number.

It is an amenable number.

2005204065305 is a deficient number, since it is larger than the sum of its proper divisors (793959033703).

2005204065305 is an equidigital number, since it uses as much as digits as its factorization.

2005204065305 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 181053 (or 181046 counting only the distinct ones).

The product of its (nonzero) digits is 36000, while the sum is 32.

The spelling of 2005204065305 in words is "two trillion, five billion, two hundred four million, sixty-five thousand, three hundred five".