3005444013 has 16 divisors (see below), whose sum is σ = 4707829056. Its totient is φ = 1681367040.

The previous prime is 3005443981. The next prime is 3005444047. The reversal of 3005444013 is 3104445003.

It is not a de Polignac number, because 3005444013 - 2⁵ = 3005443981 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3005448013) 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 15 ways as a sum of consecutive naturals, for example, 3502420 + ... + 3503277.

It is an arithmetic number, because the mean of its divisors is an integer number (294239316).

Almost surely, 2^3005444013 is an apocalyptic number.

3005444013 is a gapful number since it is divisible by the number (33) formed by its first and last digit.

It is an amenable number.

3005444013 is a deficient number, since it is larger than the sum of its proper divisors (1702385043).

3005444013 is a wasteful number, since it uses less digits than its factorization.

3005444013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7005724.

The product of its (nonzero) digits is 2880, while the sum is 24.

The square root of 3005444013 is about 54821.9300371667. The cubic root of 3005444013 is about 1443.1214459541.

Adding to 3005444013 its reverse (3104445003), we get a palindrome (6109889016).

The spelling of 3005444013 in words is "three billion, five million, four hundred forty-four thousand, thirteen".