2005034331 has 8 divisors (see below), whose sum is σ = 2676006720. Its totient is φ = 1335375752.

The previous prime is 2005034327. The next prime is 2005034333. The reversal of 2005034331 is 1334305002.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 2005034331 - 2² = 2005034327 is a prime.

It is a super-2 number, since 2×2005034331² = 8040325336977235122, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 2005034298 and 2005034307.

It is not an unprimeable number, because it can be changed into a prime (2005034333) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 324885 + ... + 330998.

It is an arithmetic number, because the mean of its divisors is an integer number (334500840).

Almost surely, 2^2005034331 is an apocalyptic number.

2005034331 is a deficient number, since it is larger than the sum of its proper divisors (670972389).

2005034331 is a wasteful number, since it uses less digits than its factorization.

2005034331 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 656905.

The product of its (nonzero) digits is 1080, while the sum is 21.

The square root of 2005034331 is about 44777.6097061913. The cubic root of 2005034331 is about 1260.9773073982.

Adding to 2005034331 its reverse (1334305002), we get a palindrome (3339339333).

The spelling of 2005034331 in words is "two billion, five million, thirty-four thousand, three hundred thirty-one".