2006000041 has 2 divisors, whose sum is σ = 2006000042. Its totient is φ = 2006000040.

The previous prime is 2006000023. The next prime is 2006000047. The reversal of 2006000041 is 1400006002.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1893555225 + 112444816 = 43515^2 + 10604^2 .

It is a cyclic number.

It is not a de Polignac number, because 2006000041 - 2⁷ = 2005999913 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 2005999985 and 2006000030.

It is not a weakly prime, because it can be changed into another prime (2006000047) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1003000020 + 1003000021.

It is an arithmetic number, because the mean of its divisors is an integer number (1003000021).

Almost surely, 2^2006000041 is an apocalyptic number.

It is an amenable number.

2006000041 is a deficient number, since it is larger than the sum of its proper divisors (1).

2006000041 is an equidigital number, since it uses as much as digits as its factorization.

2006000041 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 48, while the sum is 13.

The square root of 2006000041 is about 44788.3918108253. The cubic root of 2006000041 is about 1261.1797217117.

Adding to 2006000041 its reverse (1400006002), we get a palindrome (3406006043).

The spelling of 2006000041 in words is "two billion, six million, forty-one", and thus it is an aban number and an uban number.