"The Stars, Like Dust" is either the first or second novel, chronologically, in Asimov's Empire Series, depending on whether you believe the consensus (first) or Asimov's Author's Note in Prelude to Foundation (second). Nonetheless, it probably doesn't matter a great deal, the other contender "The Currents of Space" has Trantor as just another would-be empire, and this novel doesn't see any need to bring Trantor into the story. In all other respects too, there's little to connect either book, no common characters, political forces, no anything, beyond a shared past where Earth is radioactive. So read either book in any order you wish. In case it hasn't been hammered in yet, the Empire books form the middle of Asimov's Robots-Empire-Foundation universe timeline.
Beyond that, this is a nice piece of SF that George Lucas wouldn't have trouble making a film around. It's the old story - Boy loses father in confusing circumstances, boy goes to take what is rightfully his and possibly avenge his father's murder at the same time, boy is being chased by mysterious murderous groups, boy meets girl, boy and girl hate each other, boy and girl fall in love... well, ok, it's not the old story, it's half a dozen old stories in one, but it's a good thriller and mystery with enough twists and turns to please anyone.
It's also mercifully short, the characters are fleshed out in a most unasimovian way, and the science is there but not stupifyingly overbearing. My edition includes an apology at the end from the master about his assumption that a lifeless planet would have an oxygen-rich CO2-free atmosphere, and while I know roughly which part of the book is being refered to, it wasn't a big deal.
In all, I think I prefered The Currents of Space, but there's no reason to read one in favour of the other rather than read both. If you can find a copy, and you're after some intelligent light entertainment, you could do worse than read this.