If a pilot is responsible for dropping a nuke, do they survive the explosion caused by the nuke they dropped?

On October 30 1961 the Soviet Union tested the Tsar Bomba, the largest nuclear bomb ever tested. The bomb weighed 27 metric tons and was dropped from a height of 10,500 m in a remote area of the far north. It had a parachute with an area of 1,600 square meters. The bomb had an estimated yield of 58 megatons. It was originally designed for 100 megatons but was scaled back because of fears of excessive fallout and the risk to the plane. At the time of detonation the plane was 39 km away and lost 1 km of altitude before the pilot was able to regain control and later land safely.