3005005052841 has 32 divisors (see below), whose sum is σ = 4395633540480. Its totient is φ = 1810919001600.

The previous prime is 3005005052809. The next prime is 3005005052849. The reversal of 3005005052841 is 1482505005003.

3005005052841 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 3005005052841 - 2⁵ = 3005005052809 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is not an unprimeable number, because it can be changed into a prime (3005005052849) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 53543791 + ... + 53599883.

It is an arithmetic number, because the mean of its divisors is an integer number (137363548140).

Almost surely, 2^{3005005052841} is an apocalyptic number.

It is an amenable number.

3005005052841 is a deficient number, since it is larger than the sum of its proper divisors (1390628487639).

3005005052841 is a wasteful number, since it uses less digits than its factorization.

3005005052841 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 65257.

The product of its (nonzero) digits is 24000, while the sum is 33.

The spelling of 3005005052841 in words is "three trillion, five billion, five million, fifty-two thousand, eight hundred forty-one".