Resistors very seldom just burn up on their own. Something else failed that drew too much current and burned up the resistor. The most likely suspect is the tube it was attached to so that tube should be replaced too.
Some will claim that different types of resistors sound different so you should replace it with an original type. I don't think it will matter much. Your call.
In addition to the ohm value which I assume is 5.1 from your description, you also need the wattage rating. If its not labeled, you could remove the resistor and take it with you to the local store (assuming it's not a Radio Shack) and the guy behind the counter should be able to tell you what the wattage is. If not, get one that you are sure exceeds the original rating.
Some will claim that different types of resistors sound different so you should replace it with an original type. I don't think it will matter much. Your call.
In addition to the ohm value which I assume is 5.1 from your description, you also need the wattage rating. If its not labeled, you could remove the resistor and take it with you to the local store (assuming it's not a Radio Shack) and the guy behind the counter should be able to tell you what the wattage is. If not, get one that you are sure exceeds the original rating.