712404101404217 has 2 divisors, whose sum is σ = 712404101404218. Its totient is φ = 712404101404216.

The previous prime is 712404101404211. The next prime is 712404101404273.

712404101404217 is nontrivially palindromic in base 10.

712404101404217 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 652737298028176 + 59666803376041 = 25548724^2 + 7724429^2 .

It is a palprime.

It is a cyclic number.

It is not a de Polignac number, because 712404101404217 - 2⁴⁰ = 711304589776441 is a prime.

It is not a weakly prime, because it can be changed into another prime (712404101404211) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 356202050702108 + 356202050702109.

It is an arithmetic number, because the mean of its divisors is an integer number (356202050702109).

Almost surely, 2^{712404101404217} is an apocalyptic number.

It is an amenable number.

712404101404217 is a deficient number, since it is larger than the sum of its proper divisors (1).

712404101404217 is an equidigital number, since it uses as much as digits as its factorization.

712404101404217 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 50176, while the sum is 38.

It can be divided in two parts, 71240410 and 1404217, that added together give a palindrome (72644627).

The spelling of 712404101404217 in words is "seven hundred twelve trillion, four hundred four billion, one hundred one million, four hundred four thousand, two hundred seventeen".