6561066041 has 16 divisors (see below), whose sum is σ = 6863321808. Its totient is φ = 6266880000.

The previous prime is 6561066023. The next prime is 6561066049. The reversal of 6561066041 is 1406601656.

It can be written as a sum of positive squares in 8 ways, for example, as 714025 + 6560352016 = 845^2 + 80996^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-6561066041 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 6561065992 and 6561066010.

It is not an unprimeable number, because it can be changed into a prime (6561066049) 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, 402041 + ... + 418041.

It is an arithmetic number, because the mean of its divisors is an integer number (428957613).

Almost surely, 2^6561066041 is an apocalyptic number.

It is an amenable number.

6561066041 is a deficient number, since it is larger than the sum of its proper divisors (302255767).

6561066041 is a wasteful number, since it uses less digits than its factorization.

6561066041 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16252.

The product of its (nonzero) digits is 25920, while the sum is 35.

The square root of 6561066041 is about 81000.4076594680. The cubic root of 6561066041 is about 1872.0817219701.

Adding to 6561066041 its reverse (1406601656), we get a palindrome (7967667697).

The spelling of 6561066041 in words is "six billion, five hundred sixty-one million, sixty-six thousand, forty-one".