Become an expert in a data set that's close to revenue. Knowing as much as you can about how market interest turns into revenue (i.e. your entire marketing & sales funnel) is the easiest way to make yourself indispensible to both product and company strategy.
When you know more than anyone else in the company about how leads turn into pipeline turn into closed business for your product line or area of ownership, product will start to seek you out for your insights.
Also, be a good editor. They will inevitably write a blog post or PRD or some kind of document that requires some critical feedback. Get good at editing and being a thought partner on external facing materials.