I don't think so, unless you have important and sensitive personal information on your profile. My advice to you is, please don't publish sensitive and most private information online unless you wanna risk them. Anyway, though still you don't have any private information published in your profile, you don't wanna see that anyone else hacks into your profile. Do you?
You have to understand that if you login to your Facebook account for an urgent matter through a friend's mobile device, Facebook will notify it as an unauthorized login though you are the one responsible or that log in. The reason is it's not the regular device you use to login to your account and Facebook keeps track of devices you used to login not you personally. Well, it's obvious, right? Just for the record.
1. Log in to your Facebook account.
2. Navigate to Account Settings.
3. Click on Security tab on left pane.
6. Click Save Changes button after selecting your preferred notification options.