515880368 has 80 divisors (see below), whose sum is σ = 1094554944. Its totient is φ = 234577920.

The previous prime is 515880361. The next prime is 515880383. The reversal of 515880368 is 863088515.

It is a Cunningham number, because it is equal to 22713²-1.

It is a super-2 number, since 2×515880368² = 532265108175630848, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (515880361) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1862246 + ... + 1862522.

Almost surely, 2^515880368 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 515880368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (547277472).

515880368 is an abundant number, since it is smaller than the sum of its proper divisors (578674576).

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

515880368 is a wasteful number, since it uses less digits than its factorization.

515880368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 510 (or 504 counting only the distinct ones).

The product of its (nonzero) digits is 230400, while the sum is 44.

The square root of 515880368 is about 22712.9999779862. Note that the first 4 decimals coincide. The cubic root of 515880368 is about 802.0159407117.

The spelling of 515880368 in words is "five hundred fifteen million, eight hundred eighty thousand, three hundred sixty-eight".