4002006109 has 2 divisors, whose sum is σ = 4002006110. Its totient is φ = 4002006108.

The previous prime is 4002006089. The next prime is 4002006121. The reversal of 4002006109 is 9016002004.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 3903500484 + 98505625 = 62478^2 + 9925^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-4002006109 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 4002006109.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (4002006139) by changing a digit.

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 as a sum of consecutive naturals, namely, 2001003054 + 2001003055.

It is an arithmetic number, because the mean of its divisors is an integer number (2001003055).

Almost surely, 2^4002006109 is an apocalyptic number.

It is an amenable number.

4002006109 is a deficient number, since it is larger than the sum of its proper divisors (1).

4002006109 is an equidigital number, since it uses as much as digits as its factorization.

4002006109 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 432, while the sum is 22.

The square root of 4002006109 is about 63261.4108995365. The cubic root of 4002006109 is about 1587.6663825777. Note that the first 3 decimals are identical.

The spelling of 4002006109 in words is "four billion, two million, six thousand, one hundred nine".