It's not unusual to receive the 600 KW station in Algeria on 531 KHz in the Boston area. Even when it's not readable, the 1 KHZ offset beat to one of the 530's, like CIAO, is quite common, even on a car radio.
Does anyone remember what year the long and medium wave broadcast band channels outside the Americas moved to multiples of 9 KHz?
I do remember 1 kHz, 2 kHz, ... heterodynes. One may have been near 890, since WLS is not usually a really strong skywave where I drive in Michigan due to the 189.3 degree tower. The slightly reduced skywave does allow an offset carrier from 10 kHz to be perceived as somewhat more intense audio modulation than a strong local groundwave or a stronger skywave like WCFL...WMVP would. Sadly, Ed Cantelon of Broadcast Measurements has passed away. I would have liked to talk to him about what he observed on these types of heterodynes. He had Beverage Antennas oriented in many directions to do carrier frequency measurements.
I had the same experience with the Algerian on 1251 in the 70's... on my stock GM car radio I would get a het against 1250 from about 4 PM with considerable frequency when driving near the coast in areas of San Juan, Carolina and Cataño. On occasion, it was readable in Arabic. It could even occasionally be heard as far inland as Guaynabo and even Caguas.
A few times a year, we got Saharan dust storms, and it was almost certain on those days that the Algerian would be listenable.