216501520 has 40 divisors (see below), whose sum is σ = 519609600. Its totient is φ = 83806080.

The previous prime is 216501499. The next prime is 216501529. The reversal of 216501520 is 25105612.

It is a tau number, because it is divible by the number of its divisors (40).

It is a junction number, because it is equal to n+sod(n) for n = 216501491 and 216501500.

It is not an unprimeable number, because it can be changed into a prime (216501529) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 41170 + ... + 46129.

It is an arithmetic number, because the mean of its divisors is an integer number (12990240).

Almost surely, 2^216501520 is an apocalyptic number.

216501520 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

216501520 is an abundant number, since it is smaller than the sum of its proper divisors (303108080).

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

216501520 is a wasteful number, since it uses less digits than its factorization.

216501520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 87343 (or 87337 counting only the distinct ones).

The product of its (nonzero) digits is 600, while the sum is 22.

The square root of 216501520 is about 14713.9906211741. The cubic root of 216501520 is about 600.4640114335.

The spelling of 216501520 in words is "two hundred sixteen million, five hundred one thousand, five hundred twenty".