13034775523617 has 6 divisors (see below), whose sum is σ = 18828009089682. Its totient is φ = 8689850349072.

The previous prime is 13034775523531. The next prime is 13034775523643. The reversal of 13034775523617 is 71632557743031.

13034775523617 is a `hidden beast` number, since 1 + 3 + 0 + 3 + 4 + 77 + 552 + 3 + 6 + 17 = 666.

It can be written as a sum of positive squares in only one way, i.e., 6517395420561 + 6517380103056 = 2552919^2 + 2552916^2 .

It is a de Polignac number, because none of the positive numbers 2^k-13034775523617 is a prime.

It is not an unprimeable number, because it can be changed into a prime (13034775523687) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 724154195748 + ... + 724154195765.

It is an arithmetic number, because the mean of its divisors is an integer number (3138001514947).

Almost surely, 2^{13034775523617} is an apocalyptic number.

It is an amenable number.

13034775523617 is a deficient number, since it is larger than the sum of its proper divisors (5793233566065).

13034775523617 is a wasteful number, since it uses less digits than its factorization.

13034775523617 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1448308391519 (or 1448308391516 counting only the distinct ones).

The product of its (nonzero) digits is 11113200, while the sum is 54.

The spelling of 13034775523617 in words is "thirteen trillion, thirty-four billion, seven hundred seventy-five million, five hundred twenty-three thousand, six hundred seventeen".