556561152 has 144 divisors (see below), whose sum is σ = 1881134080. Its totient is φ = 159003648.

The previous prime is 556561043. The next prime is 556561163. The reversal of 556561152 is 251165655.

556561152 is a `hidden beast` number, since 556 + 56 + 1 + 1 + 52 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

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

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 42633 + ... + 54135.

Almost surely, 2^556561152 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 556561152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (940567040).

556561152 is an abundant number, since it is smaller than the sum of its proper divisors (1324572928).

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

556561152 is a wasteful number, since it uses less digits than its factorization.

556561152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11535 (or 11515 counting only the distinct ones).

The product of its digits is 45000, while the sum is 36.

The square root of 556561152 is about 23591.5483171410. The cubic root of 556561152 is about 822.5663952955.

The spelling of 556561152 in words is "five hundred fifty-six million, five hundred sixty-one thousand, one hundred fifty-two".