3005013 has 16 divisors (see below), whose sum is σ = 4479552. Its totient is φ = 1776000.

The previous prime is 3005011. The next prime is 3005027. The reversal of 3005013 is 3105003.

It is a happy number.

It is not a de Polignac number, because 3005013 - 2¹ = 3005011 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 3005013.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3005011) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 243 + ... + 2463.

It is an arithmetic number, because the mean of its divisors is an integer number (279972).

Almost surely, 2^3005013 is an apocalyptic number.

3005013 is a gapful number since it is divisible by the number (33) formed by its first and last digit.

It is an amenable number.

3005013 is a deficient number, since it is larger than the sum of its proper divisors (1474539).

3005013 is a wasteful number, since it uses less digits than its factorization.

3005013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2276.

The product of its (nonzero) digits is 45, while the sum is 12.

The square root of 3005013 is about 1733.4973319853. The cubic root of 3005013 is about 144.3052456277.

The spelling of 3005013 in words is "three million, five thousand, thirteen".