2005364065 has 16 divisors (see below), whose sum is σ = 2498720400. Its totient is φ = 1543182592.

The previous prime is 2005364033. The next prime is 2005364083. The reversal of 2005364065 is 5604635002.

It can be written as a sum of positive squares in 8 ways, for example, as 304956369 + 1700407696 = 17463^2 + 41236^2 .

It is a cyclic number.

It is not a de Polignac number, because 2005364065 - 2⁵ = 2005364033 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, 13299 + ... + 64711.

It is an arithmetic number, because the mean of its divisors is an integer number (156170025).

Almost surely, 2^2005364065 is an apocalyptic number.

It is an amenable number.

2005364065 is a deficient number, since it is larger than the sum of its proper divisors (493356335).

2005364065 is a wasteful number, since it uses less digits than its factorization.

2005364065 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 51716.

The product of its (nonzero) digits is 21600, while the sum is 31.

The square root of 2005364065 is about 44781.2914619487. The cubic root of 2005364065 is about 1261.0464274617.

Adding to 2005364065 its reverse (5604635002), we get a palindrome (7609999067).

The spelling of 2005364065 in words is "two billion, five million, three hundred sixty-four thousand, sixty-five".