Yes. If you already receive Social Security based on his earnings record, you'll continue to receive it as long as you live (or in some cases, until you remarry). If you don't receive Social Security yet, you can apply for a reduced benefit when you turn 62 or wait until age 65 if you want to receive an unreduced spousal retirement benefit. If you've been divorced for more than two years, you can apply as soon as your ex-husband becomes eligible for benefits, even if he hasn't started receiving them (assuming you're at least 62). However, if you've been divorced for less than two years, you must wait to apply for benefits based on your ex-husband's earnings record until he starts receiving his own benefits.

You don't have to worry about losing your benefit even if your ex-husband remarries. Benefits for a divorced spouse are calculated separately from those of a current spouse.