3066561405 has 24 divisors (see below), whose sum is σ = 5628043512. Its totient is φ = 1539293184.

The previous prime is 3066561359. The next prime is 3066561437. The reversal of 3066561405 is 5041656603.

3066561405 is a `hidden beast` number, since 30 + 6 + 6 + 5 + 614 + 0 + 5 = 666.

3066561405 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 1036968804 + 2029592601 = 32202^2 + 45051^2 .

It is not a de Polignac number, because 3066561405 - 2⁶ = 3066561341 is a prime.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 3066561405.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2003524 + ... + 2005053.

It is an arithmetic number, because the mean of its divisors is an integer number (234501813).

Almost surely, 2^3066561405 is an apocalyptic number.

It is an amenable number.

3066561405 is a deficient number, since it is larger than the sum of its proper divisors (2561482107).

3066561405 is a wasteful number, since it uses less digits than its factorization.

3066561405 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4008605 (or 4008602 counting only the distinct ones).

The product of its (nonzero) digits is 64800, while the sum is 36.

The square root of 3066561405 is about 55376.5420101328. The cubic root of 3066561405 is about 1452.8381044154.

The spelling of 3066561405 in words is "three billion, sixty-six million, five hundred sixty-one thousand, four hundred five".