1006566016555 has 16 divisors (see below), whose sum is σ = 1319220460800. Its totient is φ = 731195768160.

The previous prime is 1006566016517. The next prime is 1006566016583. The reversal of 1006566016555 is 5556106656001.

It is not a de Polignac number, because 1006566016555 - 2³⁵ = 972206278187 is a prime.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10605375 + ... + 10699864.

It is an arithmetic number, because the mean of its divisors is an integer number (82451278800).

Almost surely, 2^{1006566016555} is an apocalyptic number.

1006566016555 is a deficient number, since it is larger than the sum of its proper divisors (312654444245).

1006566016555 is a wasteful number, since it uses less digits than its factorization.

1006566016555 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21306114.

The product of its (nonzero) digits is 810000, while the sum is 46.

The spelling of 1006566016555 in words is "one trillion, six billion, five hundred sixty-six million, sixteen thousand, five hundred fifty-five".