2005313 has 4 divisors (see below), whose sum is σ = 2011440. Its totient is φ = 1999188.

The previous prime is 2005277. The next prime is 2005319. The reversal of 2005313 is 3135002.

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.

It is a cyclic number.

It is not a de Polignac number, because 2005313 - 2⁶ = 2005249 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (2005319) 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, 2543 + ... + 3236.

It is an arithmetic number, because the mean of its divisors is an integer number (502860).

2^2005313 is an apocalyptic number.

It is an amenable number.

2005313 is a deficient number, since it is larger than the sum of its proper divisors (6127).

2005313 is an equidigital number, since it uses as much as digits as its factorization.

2005313 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6126.

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

The square root of 2005313 is about 1416.0907456798. The cubic root of 2005313 is about 126.1035723523.

The spelling of 2005313 in words is "two million, five thousand, three hundred thirteen".