If you must start using the nut, use a 15/16" 6-point. If that's not getting any purchase, it probably means your nut is chewed up. If you try to remove it, using a breaker bar and that same socket, can you get it off? Are the corners all rounded over?
Even if you get it to work, per evsnova, it's not a great idea. That nut is intended only to hold the pulley on the tapered end of the crankshaft, not to take any kind of torque. If you put enough torque through it to turn the engine, and do it enough times, it becomes a crapshoot whether the first thing to break will be the pulley cracking apart, or stripping the threads of either the nut or the crankshaft.