Consumer Cellular is its own brand, for all intents and purposes. Verizon is not the same company. A variety of cellular phones are made for various service providers and usually have that provider's proprietary software on the cellphone when you purchase it. If you buy a phone from either provider, you are serviced by that provider until you switch carriers. Be very careful to read the fine print on any contractual agreement that you might have to sign so that you are aware of the circumstances to which you are agreeing.