DX lens on a APS-C DSLR: IS there a crop factor?

I have a confusion about the crop factor of DX lenses on a APS-C DSLR's.

I own a nikon D7000 and I purchase 18-200mm f/3.5-5.6 VR II separately.

and now I am planning to buy a prime lens which is AF-S DX 35mm f/1.8G

My question is Is there a crop factor for this DX lens on a APS-C camera? Do  I have to consider the 1.5x crop factor to have a 52.5mm equivalent? or 35mm DX is 35 in APS-C camera.?