559152 has 60 divisors (see below), whose sum is σ = 1711944. Its totient is φ = 168960.

The previous prime is 559133. The next prime is 559157. The reversal of 559152 is 251955.

It is a Smith number, since the sum of its digits (27) coincides with the sum of the digits of its prime factors.

It is a nialpdrome in base 16.

It is not an unprimeable number, because it can be changed into a prime (559157) by changing a digit.

559152 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1408 + ... + 1760.

2⁵⁵⁹¹⁵² 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 559152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (855972).

559152 is an abundant number, since it is smaller than the sum of its proper divisors (1152792).

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

559152 is a wasteful number, since it uses less digits than its factorization.

559152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 378 (or 369 counting only the distinct ones).

The product of its digits is 2250, while the sum is 27.

The square root of 559152 is about 747.7646688631. The cubic root of 559152 is about 82.3840796213.

The spelling of 559152 in words is "five hundred fifty-nine thousand, one hundred fifty-two".