216567252 has 108 divisors (see below), whose sum is σ = 609991200. Its totient is φ = 64727520.

The previous prime is 216567223. The next prime is 216567277. The reversal of 216567252 is 252765612.

216567252 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 361249 + ... + 361847.

Almost surely, 2^216567252 is an apocalyptic number.

216567252 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 216567252, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (304995600).

216567252 is an abundant number, since it is smaller than the sum of its proper divisors (393423948).

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

216567252 is a wasteful number, since it uses less digits than its factorization.

216567252 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 714 (or 698 counting only the distinct ones).

The product of its digits is 50400, while the sum is 36.

The square root of 216567252 is about 14716.2241081060. The cubic root of 216567252 is about 600.5247742196.

The spelling of 216567252 in words is "two hundred sixteen million, five hundred sixty-seven thousand, two hundred fifty-two".