12573361161 has 21 divisors (see below), whose sum is σ = 18855958359. Its totient is φ = 8380222416.

The previous prime is 12573361153. The next prime is 12573361193. The reversal of 12573361161 is 16116337521.

The square root of 12573361161 is 112131.

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

12573361161 is a `hidden beast` number, since 1 + 2 + 5 + 7 + 33 + 611 + 6 + 1 = 666.

It can be written as a sum of positive squares in only one way, i.e., 150921225 + 12422439936 = 12285^2 + 111456^2 .

It is not a de Polignac number, because 12573361161 - 2³ = 12573361153 is a prime.

It is not an unprimeable number, because it can be changed into a prime (12573361261) by changing a digit.

It is a polite number, since it can be written in 20 ways as a sum of consecutive naturals, for example, 3025461 + ... + 3029613.

It is an arithmetic number, because the mean of its divisors is an integer number (897902779).

Almost surely, 2^12573361161 is an apocalyptic number.

12573361161 is the 112131-st square number.

12573361161 is the 56066-th centered octagonal number.

It is an amenable number.

12573361161 is a deficient number, since it is larger than the sum of its proper divisors (6282597198).

12573361161 is an frugal number, since it uses more digits than its factorization.

12573361161 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8324 (or 4156 counting only the distinct ones).

The product of its digits is 22680, while the sum is 36.

Multiplying 12573361161 by its sum of digits (36), we get a square (452641001796 = 672786²).

Adding to 12573361161 its reverse (16116337521), we get a palindrome (28689698682).

The spelling of 12573361161 in words is "twelve billion, five hundred seventy-three million, three hundred sixty-one thousand, one hundred sixty-one".