513680560 has 40 divisors (see below), whose sum is σ = 1210681440. Its totient is φ = 202655232.

The previous prime is 513680533. The next prime is 513680569. The reversal of 513680560 is 65086315.

It is a tau number, because it is divible by the number of its divisors (40).

It is not an unprimeable number, because it can be changed into a prime (513680569) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 38140 + ... + 49819.

It is an arithmetic number, because the mean of its divisors is an integer number (30267036).

Almost surely, 2^513680560 is an apocalyptic number.

It is an amenable number.

513680560 is an abundant number, since it is smaller than the sum of its proper divisors (697000880).

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

513680560 is a wasteful number, since it uses less digits than its factorization.

513680560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 88045 (or 88039 counting only the distinct ones).

The product of its (nonzero) digits is 21600, while the sum is 34.

The square root of 513680560 is about 22664.5220554063. The cubic root of 513680560 is about 800.8743357398.

The spelling of 513680560 in words is "five hundred thirteen million, six hundred eighty thousand, five hundred sixty".