217216512 has 160 divisors (see below), whose sum is σ = 677635200. Its totient is φ = 68511744.

The previous prime is 217216507. The next prime is 217216567. The reversal of 217216512 is 215612712.

217216512 is a `hidden beast` number, since 2 + 1 + 7 + 2 + 1 + 651 + 2 = 666.

It is a super-2 number, since 2×217216512² = 94366026170892288, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 262243 + ... + 263069.

It is an arithmetic number, because the mean of its divisors is an integer number (4235220).

Almost surely, 2^217216512 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 217216512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (338817600).

217216512 is an abundant number, since it is smaller than the sum of its proper divisors (460418688).

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

217216512 is an equidigital number, since it uses as much as digits as its factorization.

217216512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 873 (or 851 counting only the distinct ones).

The product of its digits is 1680, while the sum is 27.

The square root of 217216512 is about 14738.2669266098. The cubic root of 217216512 is about 601.1242919634.

The spelling of 217216512 in words is "two hundred seventeen million, two hundred sixteen thousand, five hundred twelve".