2005632001 has 16 divisors (see below), whose sum is σ = 2237414400. Its totient is φ = 1786675968.

The previous prime is 2005631983. The next prime is 2005632011. The reversal of 2005632001 is 1002365002.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 2005632001 - 2¹¹ = 2005629953 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (19).

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 2005632001.

It is not an unprimeable number, because it can be changed into a prime (2005632011) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 480160 + ... + 484318.

It is an arithmetic number, because the mean of its divisors is an integer number (139838400).

Almost surely, 2^2005632001 is an apocalyptic number.

It is an amenable number.

2005632001 is a deficient number, since it is larger than the sum of its proper divisors (231782399).

2005632001 is a wasteful number, since it uses less digits than its factorization.

2005632001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5688.

The product of its (nonzero) digits is 360, while the sum is 19.

The square root of 2005632001 is about 44784.2829684701. The cubic root of 2005632001 is about 1261.1025876198.

Adding to 2005632001 its reverse (1002365002), we get a palindrome (3007997003).

The spelling of 2005632001 in words is "two billion, five million, six hundred thirty-two thousand, one".