525216 has 24 divisors (see below), whose sum is σ = 1378944. Its totient is φ = 175040.

The previous prime is 525209. The next prime is 525221. The reversal of 525216 is 612525.

525216 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (24).

It is an alternating number because its digits alternate between odd and even.

It is a junction number, because it is equal to n+sod(n) for n = 525192 and 525201.

It is an unprimeable number.

525216 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, 2640 + ... + 2831.

It is an arithmetic number, because the mean of its divisors is an integer number (57456).

2⁵²⁵²¹⁶ is an apocalyptic number.

It is an amenable number.

525216 is an abundant number, since it is smaller than the sum of its proper divisors (853728).

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

525216 is a wasteful number, since it uses less digits than its factorization.

525216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5484 (or 5476 counting only the distinct ones).

The product of its digits is 600, while the sum is 21.

The square root of 525216 is about 724.7178761422. The cubic root of 525216 is about 80.6824942950.

It can be divided in two parts, 525 and 216, that added together give a triangular number (741 = T₃₈).

The spelling of 525216 in words is "five hundred twenty-five thousand, two hundred sixteen".