515605216 has 48 divisors (see below), whose sum is σ = 1165086720. Its totient is φ = 220026240.

The previous prime is 515605201. The next prime is 515605243. The reversal of 515605216 is 612506515.

It is a super-4 number, since 4×515605216⁴ (a number of 36 digits) contains 4444 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 48721 + ... + 58351.

It is an arithmetic number, because the mean of its divisors is an integer number (24272640).

Almost surely, 2^515605216 is an apocalyptic number.

515605216 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 515605216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (582543360).

515605216 is an abundant number, since it is smaller than the sum of its proper divisors (649481504).

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

515605216 is a wasteful number, since it uses less digits than its factorization.

515605216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9887 (or 9879 counting only the distinct ones).

The product of its (nonzero) digits is 9000, while the sum is 31.

The square root of 515605216 is about 22706.9420222099. The cubic root of 515605216 is about 801.8733265522.

The spelling of 515605216 in words is "five hundred fifteen million, six hundred five thousand, two hundred sixteen".