513836160 has 256 divisors, whose sum is σ = 1727308800. Its totient is φ = 129761280.

The previous prime is 513836153. The next prime is 513836161. The reversal of 513836160 is 61638315.

513836160 is digitally balanced in base 6, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (513836161) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5297232 + ... + 5297328.

It is an arithmetic number, because the mean of its divisors is an integer number (6747300).

Almost surely, 2^513836160 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 513836160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (863654400).

513836160 is an abundant number, since it is smaller than the sum of its proper divisors (1213472640).

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

513836160 is a wasteful number, since it uses less digits than its factorization.

513836160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 239 (or 227 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 33.

The square root of 513836160 is about 22667.9544732206. The cubic root of 513836160 is about 800.9551923888.

The spelling of 513836160 in words is "five hundred thirteen million, eight hundred thirty-six thousand, one hundred sixty".