83086852809601 has 15 divisors (see below), whose sum is σ = 86868555852673. Its totient is φ = 79469768657620.

The previous prime is 83086852809599. The next prime is 83086852809607. The reversal of 83086852809601 is 10690825868038.

The square root of 83086852809601 is 9115199.

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

It is not a de Polignac number, because 83086852809601 - 2¹ = 83086852809599 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (83086852809607) by changing a digit.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 4821931656 + ... + 4821948886.

Almost surely, 2^{83086852809601} is an apocalyptic number.

83086852809601 is the 9115199-th square number.

83086852809601 is the 4557600-th centered octagonal number.

It is an amenable number.

83086852809601 is a deficient number, since it is larger than the sum of its proper divisors (3781703043072).

83086852809601 is an frugal number, since it uses more digits than its factorization.

83086852809601 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34554 (or 17254 counting only the distinct ones).

The product of its (nonzero) digits is 39813120, while the sum is 64.

The spelling of 83086852809601 in words is "eighty-three trillion, eighty-six billion, eight hundred fifty-two million, eight hundred nine thousand, six hundred one".