34123055053237 has 2 divisors, whose sum is σ = 34123055053238. Its totient is φ = 34123055053236.

The previous prime is 34123055053193. The next prime is 34123055053267. The reversal of 34123055053237 is 73235055032143.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 23458852912356 + 10664202140881 = 4843434^2 + 3265609^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-34123055053237 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 34123055053193 and 34123055053202.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (34123055053267) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 17061527526618 + 17061527526619.

It is an arithmetic number, because the mean of its divisors is an integer number (17061527526619).

Almost surely, 2^{34123055053237} is an apocalyptic number.

It is an amenable number.

34123055053237 is a deficient number, since it is larger than the sum of its proper divisors (1).

34123055053237 is an equidigital number, since it uses as much as digits as its factorization.

34123055053237 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1134000, while the sum is 43.

The spelling of 34123055053237 in words is "thirty-four trillion, one hundred twenty-three billion, fifty-five million, fifty-three thousand, two hundred thirty-seven".