1006565566505 has 16 divisors (see below), whose sum is σ = 1216034588160. Its totient is φ = 799831488768.

The previous prime is 1006565566483. The next prime is 1006565566537. The reversal of 1006565566505 is 5056655656001.

It is a cyclic number.

It is not a de Polignac number, because 1006565566505 - 2⁶ = 1006565566441 is a prime.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 524960 + ... + 1512849.

It is an arithmetic number, because the mean of its divisors is an integer number (76002161760).

Almost surely, 2^{1006565566505} is an apocalyptic number.

It is an amenable number.

1006565566505 is a deficient number, since it is larger than the sum of its proper divisors (209469021655).

1006565566505 is a wasteful number, since it uses less digits than its factorization.

1006565566505 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2038480.

The product of its (nonzero) digits is 4050000, while the sum is 50.

The spelling of 1006565566505 in words is "one trillion, six billion, five hundred sixty-five million, five hundred sixty-six thousand, five hundred five".