1011133472 has 48 divisors (see below), whose sum is σ = 2043907992. Its totient is φ = 492103680.

The previous prime is 1011133471. The next prime is 1011133511. The reversal of 1011133472 is 2743311101.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 553002256 + 458131216 = 23516^2 + 21404^2 .

It is not an unprimeable number, because it can be changed into a prime (1011133471) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1013678 + ... + 1014674.

Almost surely, 2^1011133472 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1011133472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1021953996).

1011133472 is an abundant number, since it is smaller than the sum of its proper divisors (1032774520).

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

1011133472 is an equidigital number, since it uses as much as digits as its factorization.

1011133472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1821 (or 1813 counting only the distinct ones).

The product of its (nonzero) digits is 504, while the sum is 23.

The square root of 1011133472 is about 31798.3249873323. The cubic root of 1011133472 is about 1003.6974692051.

Adding to 1011133472 its reverse (2743311101), we get a palindrome (3754444573).

The spelling of 1011133472 in words is "one billion, eleven million, one hundred thirty-three thousand, four hundred seventy-two".