$2015^2$ are there inclusive of 1 and itself?

How many distinct divisors/factors of
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This problem is part of the set
2015 Countdown Problems
.
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The answer is 27.

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If No. = a^p × b^q × c^r then distinct divisors/factors of No are (p + 1)(q + 1)(r + 1)

2015^² = 5^2×13^2×31^2

distinct divisors/factors of 2015² = (2 + 1)(2 + 1)(2 + 1) = 27