6005005041 has 32 divisors (see below), whose sum is σ = 9192268800. Its totient is φ = 3415809600.

The previous prime is 6005004991. The next prime is 6005005051. The reversal of 6005005041 is 1405005006.

It is a happy number.

It is not a de Polignac number, because 6005005041 - 2⁶ = 6005004977 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a junction number, because it is equal to n+sod(n) for n = 6005004999 and 6005005017.

It is not an unprimeable number, because it can be changed into a prime (6005005051) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8565991 + ... + 8566691.

It is an arithmetic number, because the mean of its divisors is an integer number (287258400).

Almost surely, 2^6005005041 is an apocalyptic number.

It is an amenable number.

6005005041 is a deficient number, since it is larger than the sum of its proper divisors (3187263759).

6005005041 is a wasteful number, since it uses less digits than its factorization.

6005005041 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1989.

The product of its (nonzero) digits is 600, while the sum is 21.

The square root of 6005005041 is about 77491.9675901961. The cubic root of 6005005041 is about 1817.6257170194.

The spelling of 6005005041 in words is "six billion, five million, five thousand, forty-one".