6006005000 has 40 divisors (see below), whose sum is σ = 14072081430. Its totient is φ = 2402400000.

The previous prime is 6006004931. The next prime is 6006005029. The reversal of 6006005000 is 5006006.

It is a happy number.

It can be written as a sum of positive squares in 5 ways, for example, as 96393124 + 5909611876 = 9818^2 + 76874^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a self number, because there is not a number n which added to its sum of digits gives 6006005000.

It is an unprimeable number.

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 9 ways as a sum of consecutive naturals, for example, 595601 + ... + 605600.

Almost surely, 2^6006005000 is an apocalyptic number.

It is an amenable number.

6006005000 is an abundant number, since it is smaller than the sum of its proper divisors (8066076430).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

6006005000 is a wasteful number, since it uses less digits than its factorization.

6006005000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1201227 (or 1201208 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 17.

The square root of 6006005000 is about 77498.4193387194. The cubic root of 6006005000 is about 1817.7266023256.

The spelling of 6006005000 in words is "six billion, six million, five thousand".