553021056 has 288 divisors, whose sum is σ = 1888794180. Its totient is φ = 154828800.

The previous prime is 553021009. The next prime is 553021057. The reversal of 553021056 is 650120355.

553021056 is a `hidden beast` number, since 553 + 0 + 2 + 105 + 6 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 514382400 + 38638656 = 22680^2 + 6216^2 .

It is a tau number, because it is divible by the number of its divisors (288).

It is not an unprimeable number, because it can be changed into a prime (553021057) 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 35 ways as a sum of consecutive naturals, for example, 5475406 + ... + 5475506.

Almost surely, 2^553021056 is an apocalyptic number.

553021056 is a gapful number since it is divisible by the number (56) 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 553021056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (944397090).

553021056 is an abundant number, since it is smaller than the sum of its proper divisors (1335773124).

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

553021056 is a wasteful number, since it uses less digits than its factorization.

553021056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 232 (or 210 counting only the distinct ones).

The product of its (nonzero) digits is 4500, while the sum is 27.

The square root of 553021056 is about 23516.3997244476. The cubic root of 553021056 is about 820.8186628681.

The spelling of 553021056 in words is "five hundred fifty-three million, twenty-one thousand, fifty-six".