513520560 has 200 divisors, whose sum is σ = 2038503456. Its totient is φ = 117365760.

The previous prime is 513520537. The next prime is 513520621. The reversal of 513520560 is 65025315.

513520560 is a `hidden beast` number, since 51 + 3 + 52 + 0 + 560 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 39700 + ... + 51020.

Almost surely, 2^513520560 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 513520560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1019251728).

513520560 is an abundant number, since it is smaller than the sum of its proper divisors (1524982896).

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

513520560 is a wasteful number, since it uses less digits than its factorization.

513520560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11353 (or 11338 counting only the distinct ones).

The product of its (nonzero) digits is 4500, while the sum is 27.

The square root of 513520560 is about 22660.9920347720. The cubic root of 513520560 is about 800.7911756268.

Adding to 513520560 its reverse (65025315), we get a palindrome (578545875).

The spelling of 513520560 in words is "five hundred thirteen million, five hundred twenty thousand, five hundred sixty".