1131582321 has 9 divisors (see below), whose sum is σ = 1634653579. Its totient is φ = 754320936.

The previous prime is 1131582253. The next prime is 1131582337. The reversal of 1131582321 is 1232851311.

The square root of 1131582321 is 33639.

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., 44957025 + 1086625296 = 6705^2 + 32964^2 .

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

It is not a de Polignac number, because 1131582321 - 2²⁷ = 997364593 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (1131582341) 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, 95311 + ... + 106523.

Almost surely, 2^1131582321 is an apocalyptic number.

1131582321 is the 33639-th square number.

1131582321 is the 16820-th centered octagonal number.

It is an amenable number.

1131582321 is a deficient number, since it is larger than the sum of its proper divisors (503071258).

1131582321 is an frugal number, since it uses more digits than its factorization.

1131582321 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22432 (or 11216 counting only the distinct ones).

The product of its digits is 1440, while the sum is 27.

The cubic root of 1131582321 is about 1042.0663800561.

It can be divided in two parts, 11315 and 82321, that added together give a square (93636 = 306²).

The spelling of 1131582321 in words is "one billion, one hundred thirty-one million, five hundred eighty-two thousand, three hundred twenty-one".