In this paper I offer a characterization of the intellectual virtue of social inquisitiveness, paying attention to its difference from the individual virtue of inquisitiveness. I defend that there is a significant distinction between individual and social epistemic virtues: individual epistemic virtues are attributed to individuals and assessed by the quality of their cognitive powers, while social epistemic virtues are attributed to epistemic communities and are assessed by the quality of the epistemic relations within the communities. I begin presenting Lani Watson's characterization of the (individual) practice of questioning and its related intellectual virtue, inquisitiveness. While she does not employ normative language, I show that her description can be constructed through four norms. Then, based on an account of epistemic communities, I defend that, while epistemic virtues attributable to individuals have norms regulating cognitive powers, epistemic virtues attributable to epistemic communities have norms regulating social epistemic interactions and shared epistemic responsibility. I then present a robust characterization of the epistemic virtue of social inquisitiveness through its social epistemic norms: DISTRIBUTION, ACCESSIBILITY, SOCIAL SINCERITY, SOCIAL CONTEXT, and FREQUENCY. I respond to two possible objections to my account and conclude by offering suggestions to broaden the scope of the epistemology of questioning.