556825752 has 384 divisors, whose sum is σ = 1981324800. Its totient is φ = 142829568.

The previous prime is 556825729. The next prime is 556825757. The reversal of 556825752 is 257528655.

556825752 is a `hidden beast` number, since 556 + 8 + 25 + 75 + 2 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 556825698 and 556825707.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (556825757) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 6708703 + ... + 6708785.

It is an arithmetic number, because the mean of its divisors is an integer number (5159700).

Almost surely, 2^556825752 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 556825752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (990662400).

556825752 is an abundant number, since it is smaller than the sum of its proper divisors (1424499048).

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

556825752 is a wasteful number, since it uses less digits than its factorization.

556825752 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 157 (or 141 counting only the distinct ones).

The product of its digits is 840000, while the sum is 45.

The square root of 556825752 is about 23597.1555912996. The cubic root of 556825752 is about 822.6967293326.

The spelling of 556825752 in words is "five hundred fifty-six million, eight hundred twenty-five thousand, seven hundred fifty-two".