559312128 has 198 divisors, whose sum is σ = 1719910514. Its totient is φ = 181398528.

The previous prime is 559312123. The next prime is 559312141. The reversal of 559312128 is 821213955.

It can be written as a sum of positive squares in only one way, i.e., 544195584 + 15116544 = 23328^2 + 3888^2 .

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

It is a junction number, because it is equal to n+sod(n) for n = 559312092 and 559312101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (559312123) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 21 ways as a sum of consecutive naturals, for example, 15116526 + ... + 15116562.

Almost surely, 2^559312128 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 559312128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (859955257).

559312128 is an abundant number, since it is smaller than the sum of its proper divisors (1160598386).

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

559312128 is an frugal number, since it uses more digits than its factorization.

559312128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 83 (or 42 counting only the distinct ones).

The product of its digits is 21600, while the sum is 36.

The square root of 559312128 is about 23649.7807177995. The cubic root of 559312128 is about 823.9194315921.

The spelling of 559312128 in words is "five hundred fifty-nine million, three hundred twelve thousand, one hundred twenty-eight".