215016516 has 108 divisors (see below), whose sum is σ = 643540716. Its totient is φ = 60128640.

The previous prime is 215016511. The next prime is 215016523. The reversal of 215016516 is 615610512.

It is a happy number.

215016516 is a `hidden beast` number, since 2 + 1 + 5 + 0 + 1 + 651 + 6 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 13660416 + 201356100 = 3696^2 + 14190^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 215016516.

It is not an unprimeable number, because it can be changed into a prime (215016511) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 54730 + ... + 58526.

Almost surely, 2^215016516 is an apocalyptic number.

215016516 is a gapful number since it is divisible by the number (26) 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 215016516, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (321770358).

215016516 is an abundant number, since it is smaller than the sum of its proper divisors (428524200).

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

215016516 is a wasteful number, since it uses less digits than its factorization.

215016516 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3842 (or 3826 counting only the distinct ones).

The product of its (nonzero) digits is 1800, while the sum is 27.

The square root of 215016516 is about 14663.4414787252. The cubic root of 215016516 is about 599.0879810715.

The spelling of 215016516 in words is "two hundred fifteen million, sixteen thousand, five hundred sixteen".