34123055053193 has 2 divisors, whose sum is σ = 34123055053194. Its totient is φ = 34123055053192.

The previous prime is 34123055053169. The next prime is 34123055053237. The reversal of 34123055053193 is 39135055032143.

It is an a-pointer prime, because the next prime (34123055053237) can be obtained adding 34123055053193 to its sum of digits (44).

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 26328310356544 + 7794744696649 = 5131112^2 + 2791907^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-34123055053193 is a prime.

It is not a weakly prime, because it can be changed into another prime (34123055053793) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 17061527526596 + 17061527526597.

It is an arithmetic number, because the mean of its divisors is an integer number (17061527526597).

Almost surely, 2^{34123055053193} is an apocalyptic number.

It is an amenable number.

34123055053193 is a deficient number, since it is larger than the sum of its proper divisors (1).

34123055053193 is an equidigital number, since it uses as much as digits as its factorization.

34123055053193 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 729000, while the sum is 44.

The spelling of 34123055053193 in words is "thirty-four trillion, one hundred twenty-three billion, fifty-five million, fifty-three thousand, one hundred ninety-three".