515315216 has 40 divisors (see below), whose sum is σ = 1086352344. Its totient is φ = 235376640.

The previous prime is 515315189. The next prime is 515315219. The reversal of 515315216 is 612513515.

It can be written as a sum of positive squares in 4 ways, for example, as 10863616 + 504451600 = 3296^2 + 22460^2 .

It is a super-2 number, since 2×515315216² = 531099543682253312, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (515315219) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 7406 + ... + 32946.

Almost surely, 2^515315216 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 515315216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (543176172).

515315216 is an abundant number, since it is smaller than the sum of its proper divisors (571037128).

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

515315216 is a wasteful number, since it uses less digits than its factorization.

515315216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25659 (or 25653 counting only the distinct ones).

The product of its digits is 4500, while the sum is 29.

The square root of 515315216 is about 22700.5554117074. Note that the first 3 decimals coincide. The cubic root of 515315216 is about 801.7229615903.

The spelling of 515315216 in words is "five hundred fifteen million, three hundred fifteen thousand, two hundred sixteen".