513416160 has 144 divisors (see below), whose sum is σ = 1768646880. Its totient is φ = 135613440.

The previous prime is 513416159. The next prime is 513416209. The reversal of 513416160 is 61614315.

513416160 is a `hidden beast` number, since 5 + 1 + 3 + 41 + 616 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 155325 + ... + 158595.

It is an arithmetic number, because the mean of its divisors is an integer number (12282270).

Almost surely, 2^513416160 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 513416160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (884323440).

513416160 is an abundant number, since it is smaller than the sum of its proper divisors (1255230720).

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

513416160 is a wasteful number, since it uses less digits than its factorization.

513416160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3401 (or 3390 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The square root of 513416160 is about 22658.6883998170. The cubic root of 513416160 is about 800.7369043399.

The spelling of 513416160 in words is "five hundred thirteen million, four hundred sixteen thousand, one hundred sixty".