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Here are three:

  1. Analytic and probabilistic methods in number theory: proceedings of the ... By Fritz Schweiger, E. Manstavičius (This is a bit specialized but good.)

  2. Probabilistic Number Theory by Wouter Duivesteijn

  3. PROBABILISTIC IDEAS AND METHODS IN ANALYTIC NUMBER THEORY (This is from our most reputed MO-ist Pete L. Clark)