6573485782161 has 27 divisors (see below), whose sum is σ = 9631451621883. Its totient is φ = 4320242040240.

The previous prime is 6573485782141. The next prime is 6573485782217. The reversal of 6573485782161 is 1612875843756.

It is a happy number.

The square root of 6573485782161 is 2563881.

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

6573485782161 is a `hidden beast` number, since 6 + 5 + 7 + 3 + 48 + 578 + 2 + 16 + 1 = 666.

It can be written as a sum of positive squares in only one way, i.e., 53409521025 + 6520076261136 = 231105^2 + 2553444^2 .

It is not a de Polignac number, because 6573485782161 - 2²¹ = 6573483685009 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (6573485782141) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 546100635 + ... + 546112671.

Almost surely, 2^{6573485782161} is an apocalyptic number.

6573485782161 is the 2563881-st square number.

6573485782161 is the 1281941-st centered octagonal number.

It is an amenable number.

6573485782161 is a deficient number, since it is larger than the sum of its proper divisors (3057965839722).

6573485782161 is an frugal number, since it uses more digits than its factorization.

6573485782161 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24222 (or 12111 counting only the distinct ones).

The product of its digits is 67737600, while the sum is 63.

The spelling of 6573485782161 in words is "six trillion, five hundred seventy-three billion, four hundred eighty-five million, seven hundred eighty-two thousand, one hundred sixty-one".