34534105993 has 2 divisors, whose sum is σ = 34534105994. Its totient is φ = 34534105992.

The previous prime is 34534105981. The next prime is 34534105997. The reversal of 34534105993 is 39950143543.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 27953164864 + 6580941129 = 167192^2 + 81123^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-34534105993 is a prime.

It is not a weakly prime, because it can be changed into another prime (34534105997) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 17267052996 + 17267052997.

It is an arithmetic number, because the mean of its divisors is an integer number (17267052997).

Almost surely, 2^34534105993 is an apocalyptic number.

It is an amenable number.

34534105993 is a deficient number, since it is larger than the sum of its proper divisors (1).

34534105993 is an equidigital number, since it uses as much as digits as its factorization.

34534105993 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 874800, while the sum is 46.

The spelling of 34534105993 in words is "thirty-four billion, five hundred thirty-four million, one hundred five thousand, nine hundred ninety-three".