12832584961 has 9 divisors (see below), whose sum is σ = 14928623361. Its totient is φ = 10998678852.

The previous prime is 12832584959. The next prime is 12832584991. The reversal of 12832584961 is 16948523821.

The square root of 12832584961 is 113281.

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

12832584961 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 12832584961 - 2¹ = 12832584959 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (49).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (12832584991) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 784876 + ... + 801058.

It is an arithmetic number, because the mean of its divisors is an integer number (1658735929).

Almost surely, 2^12832584961 is an apocalyptic number.

12832584961 is the 113281-st square number.

12832584961 is the 56641-st centered octagonal number.

It is an amenable number.

12832584961 is a deficient number, since it is larger than the sum of its proper divisors (2096038400).

12832584961 is an frugal number, since it uses more digits than its factorization.

12832584961 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32380 (or 16190 counting only the distinct ones).

The product of its digits is 829440, while the sum is 49.

Multiplying 12832584961 by its sum of digits (49), we get a square (628796663089 = 792967²).

12832584961 divided by its sum of digits (49) gives a square (261889489 = 16183²).

The spelling of 12832584961 in words is "twelve billion, eight hundred thirty-two million, five hundred eighty-four thousand, nine hundred sixty-one".