29905712328073 has 2 divisors, whose sum is σ = 29905712328074. Its totient is φ = 29905712328072.

The previous prime is 29905712328017. The next prime is 29905712328127. The reversal of 29905712328073 is 37082321750992.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 29853416413584 + 52295914489 = 5463828^2 + 228683^2 .

It is a cyclic number.

It is not a de Polignac number, because 29905712328073 - 2²⁹ = 29905175457161 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 29905712327999 and 29905712328017.

It is not a weakly prime, because it can be changed into another prime (29905712328773) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 14952856164036 + 14952856164037.

It is an arithmetic number, because the mean of its divisors is an integer number (14952856164037).

Almost surely, 2^{29905712328073} is an apocalyptic number.

It is an amenable number.

29905712328073 is a deficient number, since it is larger than the sum of its proper divisors (1).

29905712328073 is an equidigital number, since it uses as much as digits as its factorization.

29905712328073 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 11430720, while the sum is 58.

The spelling of 29905712328073 in words is "twenty-nine trillion, nine hundred five billion, seven hundred twelve million, three hundred twenty-eight thousand, seventy-three".