4217125505093 has 2 divisors, whose sum is σ = 4217125505094. Its totient is φ = 4217125505092.

The previous prime is 4217125505051. The next prime is 4217125505101. The reversal of 4217125505093 is 3905055217124.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 4000452012769 + 216673492324 = 2000113^2 + 465482^2 .

It is a cyclic number.

It is not a de Polignac number, because 4217125505093 - 2⁴⁰ = 3117613877317 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (4217125505023) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 2108562752546 + 2108562752547.

It is an arithmetic number, because the mean of its divisors is an integer number (2108562752547).

Almost surely, 2^{4217125505093} is an apocalyptic number.

It is an amenable number.

4217125505093 is a deficient number, since it is larger than the sum of its proper divisors (1).

4217125505093 is an equidigital number, since it uses as much as digits as its factorization.

4217125505093 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 378000, while the sum is 44.

The spelling of 4217125505093 in words is "four trillion, two hundred seventeen billion, one hundred twenty-five million, five hundred five thousand, ninety-three".