I would like to explain in English, but it is difficult for me. I try to explain in my limited words.
Religious is being act as rules of their religion.
Spiritually is act use universal manner that acceptable by others. For example humanity or kindness.
Atheist for me people who still searching his own divine definition.
Spirituality always appealed to me more because it tends to be self-directed, rather than fenced in by a series of definitions created by humans.