8621264567601 has 81 divisors (see below), whose sum is σ = 14659995679563. Its totient is φ = 4867983046080.

The previous prime is 8621264567599. The next prime is 8621264567627. The reversal of 8621264567601 is 1067654621268.

The square root of 8621264567601 is 2936199.

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

8621264567601 is a `hidden beast` number, since 8 + 6 + 2 + 1 + 26 + 4 + 5 + 6 + 7 + 601 = 666.

It can be written as a sum of positive squares in only one way, i.e., 1655465649201 + 6965798918400 = 1286649^2 + 2639280^2 .

It is not a de Polignac number, because 8621264567601 - 2¹ = 8621264567599 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (8621264567701) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 5487755146 + ... + 5487756716.

Almost surely, 2^{8621264567601} is an apocalyptic number.

8621264567601 is the 2936199-th square number.

8621264567601 is the 1468100-th centered octagonal number.

It is an amenable number.

8621264567601 is a deficient number, since it is larger than the sum of its proper divisors (6038731111962).

8621264567601 is an frugal number, since it uses more digits than its factorization.

8621264567601 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3340 (or 1670 counting only the distinct ones).

The product of its (nonzero) digits is 5806080, while the sum is 54.

The spelling of 8621264567601 in words is "eight trillion, six hundred twenty-one billion, two hundred sixty-four million, five hundred sixty-seven thousand, six hundred one".