C#7 is the name of a chord not a pitch and not Roman Numeral Analysis. [0]
The Roman Numeral analysis would be V7/#IV if you are modulating in C. And something else if you aren't in C. Roman Numeral Analysis is independent of key or tonal center. The Roman Numeral Analysis would be bII if you are not modulating because that's how Roman Numeral Analysis communicates.
Thinking about Phrygian mode. The two is always a bII.
{0} As an aside, in The Common Practice the bII is often notated N6 (for Neapolitan 6th) to set up a perfect cadence, i.e. I-N6-V-I.
The Roman Numeral analysis would be V7/#IV if you are modulating in C. And something else if you aren't in C. Roman Numeral Analysis is independent of key or tonal center. The Roman Numeral Analysis would be bII if you are not modulating because that's how Roman Numeral Analysis communicates.
Thinking about Phrygian mode. The two is always a bII.
{0} As an aside, in The Common Practice the bII is often notated N6 (for Neapolitan 6th) to set up a perfect cadence, i.e. I-N6-V-I.