513556560 has 240 divisors, whose sum is σ = 1914127488. Its totient is φ = 122342400.

The previous prime is 513556531. The next prime is 513556573. The reversal of 513556560 is 65655315.

513556560 is a `hidden beast` number, since 5 + 1 + 35 + 565 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 482589 + ... + 483651.

Almost surely, 2^513556560 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 513556560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (957063744).

513556560 is an abundant number, since it is smaller than the sum of its proper divisors (1400570928).

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

513556560 is a wasteful number, since it uses less digits than its factorization.

513556560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1154 (or 1145 counting only the distinct ones).

The product of its (nonzero) digits is 67500, while the sum is 36.

The square root of 513556560 is about 22661.7863373566. The cubic root of 513556560 is about 800.8098881581.

The spelling of 513556560 in words is "five hundred thirteen million, five hundred fifty-six thousand, five hundred sixty".