113533056 has 384 divisors, whose sum is σ = 435254400. Its totient is φ = 28366848.

The previous prime is 113533019. The next prime is 113533087. The reversal of 113533056 is 650335311.

113533056 is a `hidden beast` number, since 1 + 1 + 353 + 305 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5975415 + ... + 5975433.

It is an arithmetic number, because the mean of its divisors is an integer number (1133475).

Almost surely, 2^113533056 is an apocalyptic number.

113533056 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 113533056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (217627200).

113533056 is an abundant number, since it is smaller than the sum of its proper divisors (321721344).

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

113533056 is a wasteful number, since it uses less digits than its factorization.

113533056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 81 (or 44 counting only the distinct ones).

The product of its (nonzero) digits is 4050, while the sum is 27.

The square root of 113533056 is about 10655.1891583397. The cubic root of 113533056 is about 484.2178287759.

Adding to 113533056 its reverse (650335311), we get a palindrome (763868367).

It can be divided in two parts, 1135 and 33056, that added together give a triangular number (34191 = T₂₆₁).

The spelling of 113533056 in words is "one hundred thirteen million, five hundred thirty-three thousand, fifty-six".