2005314005 has 16 divisors (see below), whose sum is σ = 2424584448. Its totient is φ = 1592160000.

The previous prime is 2005314001. The next prime is 2005314037. The reversal of 2005314005 is 5004135002.

It is not a de Polignac number, because 2005314005 - 2² = 2005314001 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2005314001) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 372080 + ... + 377430.

It is an arithmetic number, because the mean of its divisors is an integer number (151536528).

Almost surely, 2^2005314005 is an apocalyptic number.

It is an amenable number.

2005314005 is a deficient number, since it is larger than the sum of its proper divisors (419270443).

2005314005 is a wasteful number, since it uses less digits than its factorization.

2005314005 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5908.

The product of its (nonzero) digits is 600, while the sum is 20.

The square root of 2005314005 is about 44780.7325196898. The cubic root of 2005314005 is about 1261.0359341868.

Adding to 2005314005 its reverse (5004135002), we get a palindrome (7009449007).

The spelling of 2005314005 in words is "two billion, five million, three hundred fourteen thousand, five".