No, it's class 1 contributions but don't forget that there is also employers ni to pay (which is one of the main reasons for the popularity of dividends over salary)
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Shaun
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Are you asking the question because the director, in question, has also set themselves up in another business as a partner or a sole trader.
If that is the case, then the answer is yes, they should pay Class 2 NI although they can get an exception by filing the Form CF10 if their self employed profits are low.