So the version of OpenSSL is vulnerable to the Heartbleed bug, according to Bluebox. This is what Verizon tells me via chat:
Julissa: Thank you for waiting. The OpenSSL is part of the android device, as you can add and apps from third party sources or even your own apps. As long as you keep the Unknown Sources option turned off on your phone, there is not much risk
Julissa: You can find this option in Settings > Security & Screen Lock > Unknown Sources
Julissa: Great, the updates on the phone security are completed periodically. New bugs and risks pop up all the time and they are addressed with each update. I don't have a date on the next update on your phone, sorry about that.
Julissa: The biggest threat on a phone is from apps. Always make sure to check the ratings and comments from other users. As well as making sure it is a trusted developer.
I do not find this answer reassuring in the least.