2005013 has 4 divisors (see below), whose sum is σ = 2110560. Its totient is φ = 1899468.

The previous prime is 2005001. The next prime is 2005019. The reversal of 2005013 is 3105002.

It is a semiprime because it is the product of two primes, and also a Blum integer, because the two primes are equal to 3 mod 4, and also an emirpimes, since its reverse is a distinct semiprime: 3105002 = 2 ⋅1552501.

It is not a de Polignac number, because 2005013 - 2⁸ = 2004757 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 2004985 and 2005003.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2005019) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 52745 + ... + 52782.

It is an arithmetic number, because the mean of its divisors is an integer number (527640).

2^2005013 is an apocalyptic number.

It is an amenable number.

2005013 is a deficient number, since it is larger than the sum of its proper divisors (105547).

2005013 is a wasteful number, since it uses less digits than its factorization.

2005013 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 105546.

The product of its (nonzero) digits is 30, while the sum is 11.

The square root of 2005013 is about 1415.9848163028. The cubic root of 2005013 is about 126.0972835654.

Subtracting from 2005013 its sum of digits (11), we obtain a palindrome (2005002).

The spelling of 2005013 in words is "two million, five thousand, thirteen".