6617812845121 has 9 divisors (see below), whose sum is σ = 6627084275811. Its totient is φ = 6608554378032.

The previous prime is 6617812845107. The next prime is 6617812845169. The reversal of 6617812845121 is 1215482187166.

It is a happy number.

The square root of 6617812845121 is 2572511.

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., 6456960513025 + 160852332096 = 2541055^2 + 401064^2 .

It is not a de Polignac number, because 6617812845121 - 2⁵ = 6617812845089 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (6617812845101) 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, 2528777005 + ... + 2528779621.

Almost surely, 2^{6617812845121} is an apocalyptic number.

6617812845121 is the 2572511-st square number.

6617812845121 is the 1286256-th centered octagonal number.

It is an amenable number.

6617812845121 is a deficient number, since it is larger than the sum of its proper divisors (9271430690).

6617812845121 is an frugal number, since it uses more digits than its factorization.

6617812845121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7200 (or 3600 counting only the distinct ones).

The product of its digits is 1290240, while the sum is 52.

The spelling of 6617812845121 in words is "six trillion, six hundred seventeen billion, eight hundred twelve million, eight hundred forty-five thousand, one hundred twenty-one".