216524520 has 48 divisors (see below), whose sum is σ = 703705860. Its totient is φ = 57739776.

The previous prime is 216524489. The next prime is 216524521. The reversal of 216524520 is 25425612.

216524520 is a `hidden beast` number, since 2 + 1 + 652 + 4 + 5 + 2 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 211353444 + 5171076 = 14538^2 + 2274^2 .

It is a super-2 number, since 2×216524520² = 93765735522460800, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (216524521) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 300369 + ... + 301088.

Almost surely, 2^216524520 is an apocalyptic number.

216524520 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

216524520 is an abundant number, since it is smaller than the sum of its proper divisors (487181340).

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

216524520 is a wasteful number, since it uses less digits than its factorization.

216524520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 601474 (or 601467 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 27.

The square root of 216524520 is about 14714.7721694901. The cubic root of 216524520 is about 600.4852740760.

The spelling of 216524520 in words is "two hundred sixteen million, five hundred twenty-four thousand, five hundred twenty".