4002052005 has 24 divisors (see below), whose sum is σ = 7927875072. Its totient is φ = 1829509344.

The previous prime is 4002052001. The next prime is 4002052007. The reversal of 4002052005 is 5002502004.

It is not a de Polignac number, because 4002052005 - 2² = 4002052001 is a prime.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4002052001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6352149 + ... + 6352778.

It is an arithmetic number, because the mean of its divisors is an integer number (330328128).

Almost surely, 2^4002052005 is an apocalyptic number.

4002052005 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

4002052005 is a deficient number, since it is larger than the sum of its proper divisors (3925823067).

4002052005 is a wasteful number, since it uses less digits than its factorization.

4002052005 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12704945 (or 12704942 counting only the distinct ones).

The product of its (nonzero) digits is 400, while the sum is 18.

The square root of 4002052005 is about 63261.7736472824. The cubic root of 4002052005 is about 1587.6724518053.

Adding to 4002052005 its reverse (5002502004), we get a palindrome (9004554009).

The spelling of 4002052005 in words is "four billion, two million, fifty-two thousand, five".