34096805527009 has 9 divisors (see below), whose sum is σ = 34126676056083. Its totient is φ = 34066961135592.

The previous prime is 34096805527003. The next prime is 34096805527027. The reversal of 34096805527009 is 90072550869043.

The square root of 34096805527009 is 5839247.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 33098125091409 + 998680435600 = 5753097^2 + 999340^2 .

It is not a de Polignac number, because 34096805527009 - 2⁷ = 34096805526881 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (34096805527003) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 10061020887 + ... + 10061024275.

Almost surely, 2^{34096805527009} is an apocalyptic number.

34096805527009 is the 5839247-th square number.

34096805527009 is the 2919624-th centered octagonal number.

It is an amenable number.

34096805527009 is a deficient number, since it is larger than the sum of its proper divisors (29870529074).

34096805527009 is an frugal number, since it uses more digits than its factorization.

34096805527009 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10224 (or 5112 counting only the distinct ones).

The product of its (nonzero) digits is 16329600, while the sum is 58.

The spelling of 34096805527009 in words is "thirty-four trillion, ninety-six billion, eight hundred five million, five hundred twenty-seven thousand, nine".