1011132256 has 96 divisors (see below), whose sum is σ = 2215600128. Its totient is φ = 451799040.

The previous prime is 1011132191. The next prime is 1011132257. The reversal of 1011132256 is 6522311101.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1011132257) 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, 2639841 + ... + 2640223.

It is an arithmetic number, because the mean of its divisors is an integer number (23079168).

Almost surely, 2^1011132256 is an apocalyptic number.

1011132256 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 1011132256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1107800064).

1011132256 is an abundant number, since it is smaller than the sum of its proper divisors (1204467872).

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

1011132256 is a wasteful number, since it uses less digits than its factorization.

1011132256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 644 (or 636 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 22.

The square root of 1011132256 is about 31798.3058668225. The cubic root of 1011132256 is about 1003.6970668525.

Adding to 1011132256 its reverse (6522311101), we get a palindrome (7533443357).

The spelling of 1011132256 in words is "one billion, eleven million, one hundred thirty-two thousand, two hundred fifty-six".