The best replacement for nikon p510 is canon sx50.

The best alternatives to nikon p510 are rated as following:
★★★★★  canon sx50
★★★★★  p520
★★★★  canon sx40
★★  sony hx200v
★★  fuji x-s1
★  sony hx300
★  p500
★  canon 1100d
★  l810
★  nikon p520
★  panasonic lumix fz150
  panasonic fz150
  nikon p500
  canon sx40hs
  canon sx 40
  canon sx500
  panasonic fz200
  canon sx500hs

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Speaking about nikon p510, one probably shouldn't forget about canon sx50.

Other search terms related to nikon p510 and their ratings are:
★★★★★ canon sx50
★★★★ canon sx40
★★★ sony hx200v
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nikon p510
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