2005301301 has 16 divisors (see below), whose sum is σ = 2697139200. Its totient is φ = 1325211840.

The previous prime is 2005301297. The next prime is 2005301303. The reversal of 2005301301 is 1031035002.

It is a happy number.

It is not a de Polignac number, because 2005301301 - 2² = 2005301297 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2005301303) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 175596 + ... + 186666.

It is an arithmetic number, because the mean of its divisors is an integer number (168571200).

Almost surely, 2^2005301301 is an apocalyptic number.

It is an amenable number.

2005301301 is a deficient number, since it is larger than the sum of its proper divisors (691837899).

2005301301 is a wasteful number, since it uses less digits than its factorization.

2005301301 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11596.

The product of its (nonzero) digits is 90, while the sum is 15.

The square root of 2005301301 is about 44780.5906727457. The cubic root of 2005301301 is about 1261.0332712232.

Adding to 2005301301 its reverse (1031035002), we get a palindrome (3036336303).

The spelling of 2005301301 in words is "two billion, five million, three hundred one thousand, three hundred one".