The uniqueness of the day depends largely on your approach to numerology. For instance, today is 11-13-15. When you add those odd numbers (1+3+5) it equals 9 which is the number month known as September (http://blog.dictionary.com/september/)
So it appears our current "9" actually means "7" in the Roman calendar, and there are 7 deadly sins, 7 planets and 7 oceans. "777" is 111 more than "666"...need I go any further.
After Sunday, the next day where the last digits will all be odd numbers will be a little bit of a wait....11-17-15 (a Tuesday). So hold tight because that's when the real fireworks start (1+7+5 = 13).