3005004005331 has 8 divisors (see below), whose sum is σ = 4007166019584. Its totient is φ = 2003088997320.

The previous prime is 3005004005309. The next prime is 3005004005369. The reversal of 3005004005331 is 1335004005003.

It is a happy number.

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

It is not a de Polignac number, because 3005004005331 - 2⁵ = 3005004005299 is a prime.

It is a super-2 number, since 2×3005004005331² (a number of 26 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (3005004000331) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 61723171 + ... + 61771836.

It is an arithmetic number, because the mean of its divisors is an integer number (500895752448).

Almost surely, 2^{3005004005331} is an apocalyptic number.

3005004005331 is a deficient number, since it is larger than the sum of its proper divisors (1002162014253).

3005004005331 is a wasteful number, since it uses less digits than its factorization.

3005004005331 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 123503121.

The product of its (nonzero) digits is 2700, while the sum is 24.

The spelling of 3005004005331 in words is "three trillion, five billion, four million, five thousand, three hundred thirty-one".