515155968 has 144 divisors (see below), whose sum is σ = 1567238400. Its totient is φ = 162570240.

The previous prime is 515155961. The next prime is 515155973. The reversal of 515155968 is 869551515.

515155968 is a `hidden beast` number, since 5 + 1 + 51 + 5 + 596 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (515155961) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 349473 + ... + 350943.

It is an arithmetic number, because the mean of its divisors is an integer number (10883600).

Almost surely, 2^515155968 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 515155968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (783619200).

515155968 is an abundant number, since it is smaller than the sum of its proper divisors (1052082432).

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

515155968 is a wasteful number, since it uses less digits than its factorization.

515155968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1518 (or 1495 counting only the distinct ones).

The product of its digits is 270000, while the sum is 45.

The square root of 515155968 is about 22697.0475613019. The cubic root of 515155968 is about 801.6403675274.

The spelling of 515155968 in words is "five hundred fifteen million, one hundred fifty-five thousand, nine hundred sixty-eight".