515808361152 has 896 divisors, whose sum is σ = 1857085440000. Its totient is φ = 140155868160.

The previous prime is 515808361087. The next prime is 515808361157. The reversal of 515808361152 is 251163808515.

515808361152 is a `hidden beast` number, since 5 + 1 + 580 + 8 + 3 + 6 + 11 + 52 = 666.

It is a super-3 number, since 3×515808361152³ (a number of 36 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 515808361098 and 515808361107.

It is not an unprimeable number, because it can be changed into a prime (515808361157) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1231045999 + ... + 1231046417.

It is an arithmetic number, because the mean of its divisors is an integer number (2072640000).

Almost surely, 2^515808361152 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 515808361152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (928542720000).

515808361152 is an abundant number, since it is smaller than the sum of its proper divisors (1341277078848).

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

515808361152 is a wasteful number, since it uses less digits than its factorization.

515808361152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 559 (or 529 counting only the distinct ones).

The product of its (nonzero) digits is 288000, while the sum is 45.

The spelling of 515808361152 in words is "five hundred fifteen billion, eight hundred eight million, three hundred sixty-one thousand, one hundred fifty-two".