1131531456 has 112 divisors (see below), whose sum is σ = 3319930368. Its totient is φ = 337228800.

The previous prime is 1131531451. The next prime is 1131531461. The reversal of 1131531456 is 6541351311.

It is an interprime number because it is at equal distance from previous prime (1131531451) and next prime (1131531461).

It is not an unprimeable number, because it can be changed into a prime (1131531451) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 124441 + ... + 133223.

Almost surely, 2^1131531456 is an apocalyptic number.

1131531456 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1131531456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1659965184).

1131531456 is an abundant number, since it is smaller than the sum of its proper divisors (2188398912).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1131531456 is a wasteful number, since it uses less digits than its factorization.

1131531456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8870 (or 8860 counting only the distinct ones).

The product of its digits is 5400, while the sum is 30.

The square root of 1131531456 is about 33638.2439494097. The cubic root of 1131531456 is about 1042.0507660792.

Adding to 1131531456 its reverse (6541351311), we get a palindrome (7672882767).

The spelling of 1131531456 in words is "one billion, one hundred thirty-one million, five hundred thirty-one thousand, four hundred fifty-six".