I think it is helpful for Product Owners to have the ability to set their opinions and assumptions aside and keep an open mind. Product Owners need to listen neutrally to their customers and the members of their Scrum teams. Product Owners have to facilitate conversations often, and the ability to think from various perspectives to formulate a strategy that serves everyone adds value.
Also, I think Product Owners need to be able to think and execute at multiple levels seamlessly. They are often required to ensure the big picture comes together while simultaneously diving into the details. Product Owners may be prepping for release planning, sprint planning, and dealing with the current sprint all in the same week at times. Solid Product Owners demonstrate the time management skills, flexibility, and agility necessary to juggle all of these perspectives.
Finally, I think Product Owners are good storytellers and coaches. They often serve as a bridge between worlds and need to communicate the needs of various groups in such a way to gain buy-in and inspire quick and effective action. Enjoying people, listening to their stories, and working as a servant leader are all helpful behaviors.