523312 has 10 divisors (see below), whose sum is σ = 1013948. Its totient is φ = 261648.

The previous prime is 523307. The next prime is 523333. The reversal of 523312 is 213325.

It is a Harshad number since it is a multiple of its sum of digits (16), and also a Moran number because the ratio is a prime number: 32707 = 523312 / (5 + 2 + 3 + 3 + 1 + 2).

It is a zygodrome in base 2.

It is an unprimeable number.

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 as a sum of consecutive naturals, namely, 16338 + ... + 16369.

2⁵²³³¹² is an apocalyptic number.

It is an amenable number.

523312 is a deficient number, since it is larger than the sum of its proper divisors (490636).

523312 is a wasteful number, since it uses less digits than its factorization.

523312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32715 (or 32709 counting only the distinct ones).

The product of its digits is 180, while the sum is 16.

The square root of 523312 is about 723.4030688351. The cubic root of 523312 is about 80.5848801855.

Adding to 523312 its reverse (213325), we get a palindrome (736637).

It can be divided in two parts, 52 and 3312, that added together give a square (3364 = 58²).

The spelling of 523312 in words is "five hundred twenty-three thousand, three hundred twelve".