29062106208001 has 2 divisors, whose sum is σ = 29062106208002. Its totient is φ = 29062106208000.

The previous prime is 29062106207989. The next prime is 29062106208043. The reversal of 29062106208001 is 10080260126092.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 20050558506225 + 9011547701776 = 4477785^2 + 3001924^2 .

It is a cyclic number.

It is not a de Polignac number, because 29062106208001 - 2⁵ = 29062106207969 is a prime.

It is not a weakly prime, because it can be changed into another prime (29062106208071) 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, 14531053104000 + 14531053104001.

It is an arithmetic number, because the mean of its divisors is an integer number (14531053104001).

Almost surely, 2^{29062106208001} is an apocalyptic number.

It is an amenable number.

29062106208001 is a deficient number, since it is larger than the sum of its proper divisors (1).

29062106208001 is an equidigital number, since it uses as much as digits as its factorization.

29062106208001 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 20736, while the sum is 37.

The spelling of 29062106208001 in words is "twenty-nine trillion, sixty-two billion, one hundred six million, two hundred eight thousand, one".