Vin: 4.2V
Vled: 3.6V
Qty of LEDs: 1
Iout: 550ma [500+600/2, you didn't specify...but resistors are only good for +/5% anyway]
R = V/I
R = [Vin - (Vled x Qty)]/Iout [This is used for all series wired LEDs.]
For parallel its
R = (Vin - Vled)/(Iout x Qty)
Solving for resistance:
R = [Vin - Vled]/Iout
R = (4.2 - 3.6)/0.55
R = 1.09 ohms, Closest resistance is 1 ohm, although one can retrieve a 1.1, 1.2 ohm half watt resistors it isn't the most common resistor to look for.
Solving for resistor thermal dissipation:
Pd = I^2 x R
Pd = 0.55^2 x (1.09)
Pd = 0.329725, meaning the resistor will dissipate ~330mW of heat
this should compliment wattage, if calculated would yield
W = Vdrop x Iout
W = (4.2 - 3.6) x 0.55
W = 0.33, or about 1/3 of a watt, so use a resistor at at minimum can dissipate half a watt, 1/4 watt resistors might burn out in this case. It may be a good idea to heatsink the resistor as well as the LED.
I hope your cell is at least protected because a resistor regulated LEDs can be battery vampires