6001006001 has 16 divisors (see below), whose sum is σ = 6435745488. Its totient is φ = 5575680000.

The previous prime is 6001005973. The next prime is 6001006003. The reversal of 6001006001 is 1006001006.

It can be written as a sum of positive squares in 8 ways, for example, as 2405804401 + 3595201600 = 49049^2 + 59960^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-6001006001 is a prime.

It is a super-3 number, since 3×6001006001³ (a number of 30 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (6001006003) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 601151 + ... + 611051.

It is an arithmetic number, because the mean of its divisors is an integer number (402234093).

Almost surely, 2^6001006001 is an apocalyptic number.

It is an amenable number.

6001006001 is a deficient number, since it is larger than the sum of its proper divisors (434739487).

6001006001 is a wasteful number, since it uses less digits than its factorization.

6001006001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10372.

The product of its (nonzero) digits is 36, while the sum is 14.

The square root of 6001006001 is about 77466.1603605084. The cubic root of 6001006001 is about 1817.2221441086. Note that the first 3 decimals are identical.

Adding to 6001006001 its reverse (1006001006), we get a palindrome (7007007007).

It can be divided in two parts, 600100 and 6001, that multiplied together give a square (3601200100 = 60010²).

The spelling of 6001006001 in words is "six billion, one million, six thousand, one".