1006516550666 has 64 divisors (see below), whose sum is σ = 1716619806720. Its totient is φ = 438552072000.

The previous prime is 1006516550651. The next prime is 1006516550693. The reversal of 1006516550666 is 6660556156001.

1006516550666 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 1006516550666.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 90095261 + ... + 90106431.

It is an arithmetic number, because the mean of its divisors is an integer number (26822184480).

Almost surely, 2^{1006516550666} is an apocalyptic number.

1006516550666 is a deficient number, since it is larger than the sum of its proper divisors (710103256054).

1006516550666 is a wasteful number, since it uses less digits than its factorization.

1006516550666 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12851.

The product of its (nonzero) digits is 972000, while the sum is 47.

The spelling of 1006516550666 in words is "one trillion, six billion, five hundred sixteen million, five hundred fifty thousand, six hundred sixty-six".