34065542129 has 2 divisors, whose sum is σ = 34065542130. Its totient is φ = 34065542128.

The previous prime is 34065542113. The next prime is 34065542131. The reversal of 34065542129 is 92124556043.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 19732663729 + 14332878400 = 140473^2 + 119720^2 .

It is a cyclic number.

It is not a de Polignac number, because 34065542129 - 2⁴ = 34065542113 is a prime.

It is a super-2 number, since 2×34065542129² (a number of 22 digits) contains 22 as substring.

Together with 34065542131, 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 (34065542629) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 17032771064 + 17032771065.

It is an arithmetic number, because the mean of its divisors is an integer number (17032771065).

Almost surely, 2^34065542129 is an apocalyptic number.

It is an amenable number.

34065542129 is a deficient number, since it is larger than the sum of its proper divisors (1).

34065542129 is an equidigital number, since it uses as much as digits as its factorization.

34065542129 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 259200, while the sum is 41.

The spelling of 34065542129 in words is "thirty-four billion, sixty-five million, five hundred forty-two thousand, one hundred twenty-nine".