34091835827129 has 2 divisors, whose sum is σ = 34091835827130. Its totient is φ = 34091835827128.

The previous prime is 34091835827117. The next prime is 34091835827141. The reversal of 34091835827129 is 92172853819043.

It is a balanced prime because it is at equal distance from previous prime (34091835827117) and next prime (34091835827141).

It can be written as a sum of positive squares in only one way, i.e., 32408848537129 + 1682987290000 = 5692877^2 + 1297300^2 .

It is a cyclic number.

It is not a de Polignac number, because 34091835827129 - 2²⁴ = 34091819049913 is a prime.

It is not a weakly prime, because it can be changed into another prime (34091835827429) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 17045917913564 + 17045917913565.

It is an arithmetic number, because the mean of its divisors is an integer number (17045917913565).

Almost surely, 2^{34091835827129} is an apocalyptic number.

It is an amenable number.

34091835827129 is a deficient number, since it is larger than the sum of its proper divisors (1).

34091835827129 is an equidigital number, since it uses as much as digits as its factorization.

34091835827129 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 26127360, while the sum is 62.

The spelling of 34091835827129 in words is "thirty-four trillion, ninety-one billion, eight hundred thirty-five million, eight hundred twenty-seven thousand, one hundred twenty-nine".