2005313065 has 16 divisors (see below), whose sum is σ = 2766048768. Its totient is φ = 1367119296.

The previous prime is 2005313059. The next prime is 2005313111. The reversal of 2005313065 is 5603135002.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 2005313065 - 2¹⁵ = 2005280297 is a prime.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 159537 + ... + 171646.

It is an arithmetic number, because the mean of its divisors is an integer number (172878048).

Almost surely, 2^2005313065 is an apocalyptic number.

It is an amenable number.

2005313065 is a deficient number, since it is larger than the sum of its proper divisors (760735703).

2005313065 is a wasteful number, since it uses less digits than its factorization.

2005313065 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 331368.

The product of its (nonzero) digits is 2700, while the sum is 25.

The square root of 2005313065 is about 44780.7220241032. The cubic root of 2005313065 is about 1261.0357371480.

Adding to 2005313065 its reverse (5603135002), we get a palindrome (7608448067).

The spelling of 2005313065 in words is "two billion, five million, three hundred thirteen thousand, sixty-five".