You mean a M575S? Because the 585 is just a common mouse. Finding old (obsolete, abandoned) logos as stickers is really hard. The fact that adhesives don’t last forever and ink of all sorts will fade in sunlight doesn’t help either. You best chance might be to find somebody with screen printing equipment. (Nothing to do with screenshots!) Repair cafes and the like often have them and many are also offering workshops for very little money. You might even get a small screen printing device (screens, press, roller, paint plus photoreactive paste, more than good enough for stickers) for little money. The printing process for a simple two to four colour logo is ridiculously easy.
Another way is scanning or otherwise acquiring the logos, optionally transforming them to SVG to soften the edges and having a copy shop, repro workshop or print shop print them on adhesive foil. Don’t be too cheap or you’ll end up with stickers that will drastically fade in realtively short time.