34513777721 has 2 divisors, whose sum is σ = 34513777722. Its totient is φ = 34513777720.

The previous prime is 34513777687. The next prime is 34513777729. The reversal of 34513777721 is 12777731543.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 33657571600 + 856206121 = 183460^2 + 29261^2 .

It is an emirp because it is prime and its reverse (12777731543) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 34513777721 - 2⁶ = 34513777657 is a prime.

It is a super-3 number, since 3×34513777721³ (a number of 33 digits) contains 333 as substring.

It is not a weakly prime, because it can be changed into another prime (34513777729) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 17256888860 + 17256888861.

It is an arithmetic number, because the mean of its divisors is an integer number (17256888861).

Almost surely, 2^34513777721 is an apocalyptic number.

It is an amenable number.

34513777721 is a deficient number, since it is larger than the sum of its proper divisors (1).

34513777721 is an equidigital number, since it uses as much as digits as its factorization.

34513777721 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 864360, while the sum is 47.

The spelling of 34513777721 in words is "thirty-four billion, five hundred thirteen million, seven hundred seventy-seven thousand, seven hundred twenty-one".