6000003000006 has 64 divisors (see below), whose sum is σ = 12284986134528. Its totient is φ = 1952715859328.

The previous prime is 6000002999983. The next prime is 6000003000029.

6000003000006 is nontrivially palindromic in base 10.

It is an interprime number because it is at equal distance from previous prime (6000002999983) and next prime (6000003000029).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 210563896 + ... + 210592388.

It is an arithmetic number, because the mean of its divisors is an integer number (191952908352).

Almost surely, 2^{6000003000006} is an apocalyptic number.

6000003000006 is an abundant number, since it is smaller than the sum of its proper divisors (6284983134522).

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

6000003000006 is a wasteful number, since it uses less digits than its factorization.

6000003000006 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30325.

The product of its (nonzero) digits is 108, while the sum is 15.

The spelling of 6000003000006 in words is "six trillion, three million, six", and thus it is an aban number and an uban number.