1006516550667 has 8 divisors (see below), whose sum is σ = 1342152389520. Its totient is φ = 670945872800.

The previous prime is 1006516550651. The next prime is 1006516550693. The reversal of 1006516550667 is 7660556156001.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 1006516550667 - 2⁴ = 1006516550651 is a prime.

It is not an unprimeable number, because it can be changed into a prime (1006516550617) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 16254192 + ... + 16315997.

It is an arithmetic number, because the mean of its divisors is an integer number (167769048690).

Almost surely, 2^{1006516550667} is an apocalyptic number.

1006516550667 is a deficient number, since it is larger than the sum of its proper divisors (335635838853).

1006516550667 is a wasteful number, since it uses less digits than its factorization.

1006516550667 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32580493.

The product of its (nonzero) digits is 1134000, while the sum is 48.

The spelling of 1006516550667 in words is "one trillion, six billion, five hundred sixteen million, five hundred fifty thousand, six hundred sixty-seven".