526112 has 24 divisors (see below), whose sum is σ = 1063692. Its totient is φ = 256000.

The previous prime is 526087. The next prime is 526117. The reversal of 526112 is 211625.

It can be written as a sum of positive squares in 2 ways, for example, as 524176 + 1936 = 724^2 + 44^2 .

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 526112.

It is not an unprimeable number, because it can be changed into a prime (526117) by changing a digit.

526112 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 3 ways as a sum of consecutive naturals, for example, 1112 + ... + 1512.

2⁵²⁶¹¹² 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 526112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (531846).

526112 is an abundant number, since it is smaller than the sum of its proper divisors (537580).

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

526112 is a wasteful number, since it uses less digits than its factorization.

526112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 452 (or 444 counting only the distinct ones).

The product of its digits is 120, while the sum is 17.

The square root of 526112 is about 725.3357843096. The cubic root of 526112 is about 80.7283487275.

Adding to 526112 its reverse (211625), we get a palindrome (737737).

The spelling of 526112 in words is "five hundred twenty-six thousand, one hundred twelve".