Hi @tatsuya
VBAT (without RETRAM enabled) is guaranteed down to 1.2V (as per datasheet).
if you change battery when it is 1.8V, you have at least 0.6V headroom.
With roughly 1uA, if you compute C=I*t/V, you end up to something in the range of 100uF.
You might use a smaller capacitor value if you ask user to change battery at an higher threshold (e.g. 2.5V seems a more sensible value for a 3V lithium battery) and/or if you allows less time for battery replacement.
Beware that depending on the capacitor size and dielectric technology, 100uF might exhibit a self discharge current which has to be taken into account (especially at elevated temperatures).
Take also into account the real capacitor value (including tolerances and voltage derating if applicable to the capacitor used). It is somewhat surprising when you dig into spec of capacitors.
Regards.
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