216120527 has 16 divisors (see below), whose sum is σ = 252672000. Its totient is φ = 184779000.

The previous prime is 216120503. The next prime is 216120533. The reversal of 216120527 is 725021612.

It is not a de Polignac number, because 216120527 - 2²⁴ = 199343311 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 216120496 and 216120505.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (216120587) 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 15 ways as a sum of consecutive naturals, for example, 257174 + ... + 258012.

It is an arithmetic number, because the mean of its divisors is an integer number (15792000).

Almost surely, 2^216120527 is an apocalyptic number.

216120527 is a deficient number, since it is larger than the sum of its proper divisors (36551473).

216120527 is an frugal number, since it uses more digits than its factorization.

216120527 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1611 (or 1597 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 26.

The square root of 216120527 is about 14701.0382966646. The cubic root of 216120527 is about 600.1115783233. Note that the first 3 decimals are identical.

The spelling of 216120527 in words is "two hundred sixteen million, one hundred twenty thousand, five hundred twenty-seven".