1331009289 has 9 divisors (see below), whose sum is σ = 1922727079. Its totient is φ = 887266560.

The previous prime is 1331009249. The next prime is 1331009291. The reversal of 1331009289 is 9829001331.

The square root of 1331009289 is 36483.

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., 312122889 + 1018886400 = 17667^2 + 31920^2 .

It is a tau number, because it is divible by the number of its divisors (9).

It is not a de Polignac number, because 1331009289 - 2⁷ = 1331009161 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1331009249) 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, 103369 + ... + 115529.

Almost surely, 2^1331009289 is an apocalyptic number.

1331009289 is the 36483-rd square number.

1331009289 is the 18242-nd centered octagonal number.

It is an amenable number.

1331009289 is a deficient number, since it is larger than the sum of its proper divisors (591717790).

1331009289 is an frugal number, since it uses more digits than its factorization.

1331009289 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24328 (or 12164 counting only the distinct ones).

The product of its (nonzero) digits is 11664, while the sum is 36.

The cubic root of 1331009289 is about 1100.0025589472.

Multiplying 1331009289 by its sum of digits (36), we get a square (47916334404 = 218898²).

Multiplying 1331009289 by its product of nonzero digits (11664), we get a square (15524892346896 = 3940164²).

The spelling of 1331009289 in words is "one billion, three hundred thirty-one million, nine thousand, two hundred eighty-nine".