6001006205 has 32 divisors (see below), whose sum is σ = 7868417760. Its totient is φ = 4375674880.

The previous prime is 6001006183. The next prime is 6001006217. The reversal of 6001006205 is 5026001006.

It can be written as a sum of positive squares in 16 ways, for example, as 250968964 + 5750037241 = 15842^2 + 75829^2 .

It is not a de Polignac number, because 6001006205 - 2¹⁰ = 6001005181 is a prime.

It is a Curzon number.

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 471161 + ... + 483729.

It is an arithmetic number, because the mean of its divisors is an integer number (245888055).

Almost surely, 2^6001006205 is an apocalyptic number.

It is an amenable number.

6001006205 is a deficient number, since it is larger than the sum of its proper divisors (1867411555).

6001006205 is a wasteful number, since it uses less digits than its factorization.

6001006205 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12769.

The product of its (nonzero) digits is 360, while the sum is 20.

The square root of 6001006205 is about 77466.1616772123. The cubic root of 6001006205 is about 1817.2221647004. Note that the first 3 decimals are identical.

The spelling of 6001006205 in words is "six billion, one million, six thousand, two hundred five".