2005005211 has 36 divisors (see below), whose sum is σ = 2385199656. Its totient is φ = 1678293760.

The previous prime is 2005005203. The next prime is 2005005221. The reversal of 2005005211 is 1125005002.

It is not a de Polignac number, because 2005005211 - 2³ = 2005005203 is a prime.

It is a super-2 number, since 2×2005005211² = 8040091792274309042, which contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (2005005221) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 5777940 + ... + 5778286.

It is an arithmetic number, because the mean of its divisors is an integer number (66255546).

Almost surely, 2^2005005211 is an apocalyptic number.

2005005211 is a deficient number, since it is larger than the sum of its proper divisors (380194445).

2005005211 is a wasteful number, since it uses less digits than its factorization.

2005005211 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 492 (or 428 counting only the distinct ones).

The product of its (nonzero) digits is 100, while the sum is 16.

The square root of 2005005211 is about 44777.2845424999. The cubic root of 2005005211 is about 1260.9712027917.

The spelling of 2005005211 in words is "two billion, five million, five thousand, two hundred eleven".