34513777729 has 2 divisors, whose sum is σ = 34513777730. Its totient is φ = 34513777728.

The previous prime is 34513777721. The next prime is 34513777747. The reversal of 34513777729 is 92777731543.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 34502319504 + 11458225 = 185748^2 + 3385^2 .

It is a cyclic number.

It is not a de Polignac number, because 34513777729 - 2³ = 34513777721 is a prime.

It is a super-3 number, since 3×34513777729³ (a number of 33 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 34513777729.

It is not a weakly prime, because it can be changed into another prime (34513777721) 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, 17256888864 + 17256888865.

It is an arithmetic number, because the mean of its divisors is an integer number (17256888865).

Almost surely, 2^34513777729 is an apocalyptic number.

It is an amenable number.

34513777729 is a deficient number, since it is larger than the sum of its proper divisors (1).

34513777729 is an equidigital number, since it uses as much as digits as its factorization.

34513777729 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 7779240, while the sum is 55.

The spelling of 34513777729 in words is "thirty-four billion, five hundred thirteen million, seven hundred seventy-seven thousand, seven hundred twenty-nine".