3003002013 has 16 divisors (see below), whose sum is σ = 4429527552. Its totient is φ = 1794366000.

The previous prime is 3003001987. The next prime is 3003002017. The reversal of 3003002013 is 3102003003.

It is a happy number.

It is not a de Polignac number, because 3003002013 - 2¹⁶ = 3002936477 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 3003002013.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3003002017) 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, 638503 + ... + 643188.

It is an arithmetic number, because the mean of its divisors is an integer number (276845472).

Almost surely, 2^3003002013 is an apocalyptic number.

3003002013 is a gapful number since it is divisible by the number (33) formed by its first and last digit.

It is an amenable number.

3003002013 is a deficient number, since it is larger than the sum of its proper divisors (1426525539).

3003002013 is a wasteful number, since it uses less digits than its factorization.

3003002013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1281776.

The product of its (nonzero) digits is 54, while the sum is 12.

The square root of 3003002013 is about 54799.6534021886. The cubic root of 3003002013 is about 1442.7304823714.

Adding to 3003002013 its reverse (3102003003), we get a palindrome (6105005016).

The spelling of 3003002013 in words is "three billion, three million, two thousand, thirteen".