1131953472 has 84 divisors (see below), whose sum is σ = 3494143380. Its totient is φ = 348291072.

The previous prime is 1131953467. The next prime is 1131953479. The reversal of 1131953472 is 2743591311.

1131953472 is a `hidden beast` number, since 1 + 131 + 9 + 53 + 472 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 714813696 + 417139776 = 26736^2 + 20424^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1131953479) 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 11 ways as a sum of consecutive naturals, for example, 68097 + ... + 83072.

It is an arithmetic number, because the mean of its divisors is an integer number (41596945).

Almost surely, 2^1131953472 is an apocalyptic number.

1131953472 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1131953472 is an abundant number, since it is smaller than the sum of its proper divisors (2362189908).

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

1131953472 is a wasteful number, since it uses less digits than its factorization.

1131953472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 151200 (or 151187 counting only the distinct ones).

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

The square root of 1131953472 is about 33644.5162247877. The cubic root of 1131953472 is about 1042.1802977370.

The spelling of 1131953472 in words is "one billion, one hundred thirty-one million, nine hundred fifty-three thousand, four hundred seventy-two".