513898560 has 448 divisors, whose sum is σ = 2150668800. Its totient is φ = 113025024.

The previous prime is 513898537. The next prime is 513898573. The reversal of 513898560 is 65898315.

513898560 is a `hidden beast` number, since 5 + 1 + 3 + 89 + 8 + 560 = 666.

It is a tau number, because it is divible by the number of its divisors (448).

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 63 ways as a sum of consecutive naturals, for example, 1753774 + ... + 1754066.

It is an arithmetic number, because the mean of its divisors is an integer number (4800600).

Almost surely, 2^513898560 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 513898560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1075334400).

513898560 is an abundant number, since it is smaller than the sum of its proper divisors (1636770240).

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

513898560 is a wasteful number, since it uses less digits than its factorization.

513898560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 355 (or 339 counting only the distinct ones).

The product of its (nonzero) digits is 259200, while the sum is 45.

The square root of 513898560 is about 22669.3308238245. The cubic root of 513898560 is about 800.9876136058.

The spelling of 513898560 in words is "five hundred thirteen million, eight hundred ninety-eight thousand, five hundred sixty".