515241216 has 288 divisors, whose sum is σ = 1820958720. Its totient is φ = 140507136.

The previous prime is 515241211. The next prime is 515241217. The reversal of 515241216 is 612142515.

515241216 is a `hidden beast` number, since 515 + 24 + 121 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

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

It is a self number, because there is not a number n which added to its sum of digits gives 515241216.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (515241211) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1112601 + ... + 1113063.

Almost surely, 2^515241216 is an apocalyptic number.

515241216 is a gapful number since it is divisible by the number (56) 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 515241216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (910479360).

515241216 is an abundant number, since it is smaller than the sum of its proper divisors (1305717504).

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

515241216 is a wasteful number, since it uses less digits than its factorization.

515241216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 518 (or 498 counting only the distinct ones).

The product of its digits is 2400, while the sum is 27.

The square root of 515241216 is about 22698.9254371215. The cubic root of 515241216 is about 801.6845835662.

The spelling of 515241216 in words is "five hundred fifteen million, two hundred forty-one thousand, two hundred sixteen".