You need the weights to find out for sure, but its probably OK if its an F250 diesel. The weights and weight ratings will vary depending on exactly which F250 configuration you have - which engine, transmission, rear axle, cab style (regular, extended or crew) and bed size (short or long).
Find your trucks GCWR abd GVWR ratings and also the actual weight of your truck (preferably weighed, but you can use te unladen vehicle weight spec and add the weight of your fifth wheel hitch and any passengers & gear you carry while towing. Subtract the actual weight from the GVWR and that's the maximum weight yu can put on the hitch. Compare that to the Kingpin (hitch) weight of the trailer. Then subtract the actual weight from the GCWR to determine the max triler weight you can tow and compare that to the weight of the trailer. It's best to assume the trailer will be at its own max weight, but if you are sure it will be loaded to some leser figure you can use that.
An F350 can carry about 1000 lbs more than an F250. GCWR is the same.