6005010006 has 20 divisors (see below), whose sum is σ = 13455670932. Its totient is φ = 2001669948.

The previous prime is 6005009999. The next prime is 6005010017. The reversal of 6005010006 is 6000105006.

6005010006 is a `hidden beast` number, since 600 + 50 + 10 + 0 + 0 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

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 9 ways as a sum of consecutive naturals, for example, 18533820 + ... + 18534143.

Almost surely, 2^6005010006 is an apocalyptic number.

6005010006 is an abundant number, since it is smaller than the sum of its proper divisors (7450660926).

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

6005010006 is a wasteful number, since it uses less digits than its factorization.

6005010006 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37067977 (or 37067968 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 18.

The square root of 6005010006 is about 77491.9996257678. Note that the first 3 decimals coincide. The cubic root of 6005010006 is about 1817.6262179631.

The spelling of 6005010006 in words is "six billion, five million, ten thousand, six".