29312914217 has 2 divisors, whose sum is σ = 29312914218. Its totient is φ = 29312914216.

The previous prime is 29312914193. The next prime is 29312914219. The reversal of 29312914217 is 71241921392.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 27243483136 + 2069431081 = 165056^2 + 45491^2 .

It is a cyclic number.

It is not a de Polignac number, because 29312914217 - 2¹⁰ = 29312913193 is a prime.

Together with 29312914219, it forms a pair of twin primes.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (29312914219) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 14656457108 + 14656457109.

It is an arithmetic number, because the mean of its divisors is an integer number (14656457109).

Almost surely, 2^29312914217 is an apocalyptic number.

It is an amenable number.

29312914217 is a deficient number, since it is larger than the sum of its proper divisors (1).

29312914217 is an equidigital number, since it uses as much as digits as its factorization.

29312914217 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 54432, while the sum is 41.

The spelling of 29312914217 in words is "twenty-nine billion, three hundred twelve million, nine hundred fourteen thousand, two hundred seventeen".