6006526565041 has 2 divisors, whose sum is σ = 6006526565042. Its totient is φ = 6006526565040.

The previous prime is 6006526564993. The next prime is 6006526565069. The reversal of 6006526565041 is 1405656256006.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 6006102040225 + 424524816 = 2450735^2 + 20604^2 .

It is a cyclic number.

It is not a de Polignac number, because 6006526565041 - 2⁹ = 6006526564529 is a prime.

It is a super-2 number, since 2×6006526565041² (a number of 26 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 6006526564982 and 6006526565000.

It is not a weakly prime, because it can be changed into another prime (6006526565341) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 3003263282520 + 3003263282521.

It is an arithmetic number, because the mean of its divisors is an integer number (3003263282521).

Almost surely, 2^{6006526565041} is an apocalyptic number.

It is an amenable number.

6006526565041 is a deficient number, since it is larger than the sum of its proper divisors (1).

6006526565041 is an equidigital number, since it uses as much as digits as its factorization.

6006526565041 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1296000, while the sum is 46.

The spelling of 6006526565041 in words is "six trillion, six billion, five hundred twenty-six million, five hundred sixty-five thousand, forty-one".