At new highs, Apple only starting to ripen: Analysts

Apple is on a record-breaking streak. And the rally doesn't look like it's going to slow anytime soon, some analysts said.

And with the stock creeping up, analysts are again whispering it might become the world's first trillion- dollar company.

"After fading a bit from focus ... I think we can start to have that trillion-dollar discussion again," said Alex Gauna, an analyst at JMP Securities.

The iPhone maker broke two of its own records on Thursday. Its stock price closed at an all-time high on at $112.82 and its market cap soared to a whopping $666.1 billion. (Watch The video)