The answer depends on benefits from your earnings versus benefits on your ex's record. Your ex-spouse benefit is 1/2 of your ex-spouse's full retirement age (FRA) benefit. Your own benefit is whatever it is according to your current benefit estimate. If your ex doesn't share his/her FRA amount with you, you can get it from Social Security Administration.
If your benefit is more than half of spouse's FRA benefit and you don't need to claim a benefit now, it will probably be better to wait until your FRA 66. At that point, you could file a restricted application for your ex-spouse benefit only, allowing your benefit to grow to age 70. So, even if your FRA benefit is less than half of ex-spouse's FRA benefit, doing the above strategy might allow your benefit to become larger than your ex-spouse benefit.
As you can see, it gets a bit complicated, so getting competent advice on your specific situation is critical. You need to completely understand the results of claiming early versus waiting. I have helped several divorced spouses and surviving spouses with this kind of planning and it is amazing what careful planning can produce.