It really is, even with half of women being illiterate. Do remember that India has 1.35 billion people and is very close to overtaking China as the most populous country in the world. Second largest democracy is USA, which has "only" 330 million.
Though as others pointed out - the democracy overall is quite shaky there, with huge contrasts between the big cities and countryside and full of nationalistic fervour/hate/propaganda. Everything from high tech to almost literal middle ages for peasantry.