It is a strong prime.
It is a cyclic number.
It is a de Polignac number, because none of the positive numbers 2k-4125511334017 is a prime.
Almost surely, 24125511334017 is an apocalyptic number.
It is an amenable number.
4125511334017 is an equidigital number, since it uses as much as digits as its factorization.
4125511334017 is an odious number, because the sum of its binary digits is odd.
The spelling of 4125511334017 in words is "four trillion, one hundred twenty-five billion, five hundred eleven million, three hundred thirty-four thousand, seventeen".