55712006321417 has 2 divisors, whose sum is σ = 55712006321418. Its totient is φ = 55712006321416.

The previous prime is 55712006321359. The next prime is 55712006321431. The reversal of 55712006321417 is 71412360021755.

55712006321417 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 52064609167561 + 3647397153856 = 7215581^2 + 1909816^2 .

It is a cyclic number.

It is not a de Polignac number, because 55712006321417 - 2¹⁰ = 55712006320393 is a prime.

It is not a weakly prime, because it can be changed into another prime (55712006321017) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 27856003160708 + 27856003160709.

It is an arithmetic number, because the mean of its divisors is an integer number (27856003160709).

Almost surely, 2^{55712006321417} is an apocalyptic number.

It is an amenable number.

55712006321417 is a deficient number, since it is larger than the sum of its proper divisors (1).

55712006321417 is an equidigital number, since it uses as much as digits as its factorization.

55712006321417 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 352800, while the sum is 44.

The spelling of 55712006321417 in words is "fifty-five trillion, seven hundred twelve billion, six million, three hundred twenty-one thousand, four hundred seventeen".