34052635305 has 80 divisors (see below), whose sum is σ = 66389987664. Its totient is φ = 16598131200.

The previous prime is 34052635289. The next prime is 34052635313. The reversal of 34052635305 is 50353625043.

34052635305 is a `hidden beast` number, since 340 + 5 + 2 + 6 + 3 + 5 + 305 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 2897561241 + 31155074064 = 53829^2 + 176508^2 .

It is not a de Polignac number, because 34052635305 - 2⁴ = 34052635289 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 34052635305.

It is an unprimeable number.

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 in 79 ways as a sum of consecutive naturals, for example, 499747 + ... + 563783.

Almost surely, 2^34052635305 is an apocalyptic number.

It is an amenable number.

34052635305 is a deficient number, since it is larger than the sum of its proper divisors (32337352359).

34052635305 is a wasteful number, since it uses less digits than its factorization.

34052635305 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 64168 (or 64159 counting only the distinct ones).

The product of its (nonzero) digits is 162000, while the sum is 36.

The spelling of 34052635305 in words is "thirty-four billion, fifty-two million, six hundred thirty-five thousand, three hundred five".