Which cloud based project management system to choose?

Question

Android

You need a good project management system:
1) integration with Google Apps (Google Calendar at least);
2) integration with Github (desirable);
3) bug tracker (bugs, requirements, features);
4) mobile applications: iOS, Android (desirable);
5) time tracking (very cool if there is a solution with employee logging, for example, a screenshot every 10 minutes).
Interested in more SaaS solutions and preferably in Russian.
The search gave a very weak result, I did not find a suitable one.

Answer 1

YouTrack
1. I'm not sure what it is, but you can definitely write a plugin
2. it is
3. it is
4. there seems to be no application, but the web application is optimized for mobile. device
5. yes (screenshot is unlikely, again, probably resolvable by the plugin)