513696960 has 336 divisors, whose sum is σ = 2050304256. Its totient is φ = 115623936.

The previous prime is 513696929. The next prime is 513696971. The reversal of 513696960 is 69696315.

It is a tau number, because it is divible by the number of its divisors (336).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1673127 + ... + 1673433.

It is an arithmetic number, because the mean of its divisors is an integer number (6102096).

Almost surely, 2^513696960 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 513696960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1025152128).

513696960 is an abundant number, since it is smaller than the sum of its proper divisors (1536607296).

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

513696960 is a wasteful number, since it uses less digits than its factorization.

513696960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 420 (or 407 counting only the distinct ones).

The product of its (nonzero) digits is 262440, while the sum is 45.

The square root of 513696960 is about 22664.8838514562. The cubic root of 513696960 is about 800.8828586756.

The spelling of 513696960 in words is "five hundred thirteen million, six hundred ninety-six thousand, nine hundred sixty".