Is period of rotation relative?

My question is inspired by the following answer by voix to another problem:

"There is a real object with relativistic speed of surface - millisecond pulsar. The swiftest spinning pulsar currently known, spinning 716 times a second. Surface speed of such pulsar with radius $16 \mathrm{km}$ is about $7\times10^{7} \mathrm{m/s}$ or $24\%$ speed of light."

This period of the pulsar is that measured here on Earth, that is by remote observer. However, pulsar has both enormous surface rotational speed and quite strong gravitational field. All processes at relativistic speed or strong gravity are time dilated. Is the period affected as well? What is difference of periods of rotation measured by a distant observer and an observer on the pulsar surface?

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There is also a gravitational time dilation. – Ben Crowell May 14 '13 at 15:12

There is a relativistic effect, but it's very tiny at that speed (0.24c). In fact, the effect is even smaller, since only the radially most distant particles from the rotation center are traveling with 0.24c. (The speed decreases with 1/r)