560513520 has 280 divisors, whose sum is σ = 2234651616. Its totient is φ = 128024064.

The previous prime is 560513507. The next prime is 560513543. The reversal of 560513520 is 25315065.

560513520 is a `hidden beast` number, since 5 + 605 + 1 + 3 + 52 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (280).

It is a super-2 number, since 2×560513520² = 628350812205580800, which contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 407554 + ... + 408926.

Almost surely, 2^560513520 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 560513520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1117325808).

560513520 is an abundant number, since it is smaller than the sum of its proper divisors (1674138096).

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

560513520 is a wasteful number, since it uses less digits than its factorization.

560513520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1411 (or 1390 counting only the distinct ones).

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

The square root of 560513520 is about 23675.1667364773. The cubic root of 560513520 is about 824.5089308968.

Adding to 560513520 its reverse (25315065), we get a palindrome (585828585).

The spelling of 560513520 in words is "five hundred sixty million, five hundred thirteen thousand, five hundred twenty".