special relativity - Does potential energy of an object increases its relativistic mass?

I know that in relativistic condition the increase in kinetic energy of an object increases its relativistic mass as $$m=\frac{m_0}{(1-v^2/c^2)^{1/2}},$$ and mass is another form of energy.

So my question is if that object have same amount of potential energy instead of kinetic energy then can we say that its relativistic mass is increased?