3005020013 has 8 divisors (see below), whose sum is σ = 3020853528. Its totient is φ = 2989225024.

The previous prime is 3005019967. The next prime is 3005020021. The reversal of 3005020013 is 3100205003.

It can be written as a sum of positive squares in 4 ways, for example, as 266277124 + 2738742889 = 16318^2 + 52333^2 .

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

It is a cyclic number.

It is not a de Polignac number, because 3005020013 - 2⁶ = 3005019949 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 3005020013.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3005020033) 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, 153995 + ... + 172407.

It is an arithmetic number, because the mean of its divisors is an integer number (377606691).

Almost surely, 2^3005020013 is an apocalyptic number.

It is an amenable number.

3005020013 is a deficient number, since it is larger than the sum of its proper divisors (15833515).

3005020013 is a wasteful number, since it uses less digits than its factorization.

3005020013 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19263.

The product of its (nonzero) digits is 90, while the sum is 14.

The square root of 3005020013 is about 54818.0628351641. The cubic root of 3005020013 is about 1443.0535788583.

Adding to 3005020013 its reverse (3100205003), we get a palindrome (6105225016).

The spelling of 3005020013 in words is "three billion, five million, twenty thousand, thirteen".