513638530560 has 320 divisors, whose sum is σ = 1827490800960. Its totient is φ = 136744796160.

The previous prime is 513638530547. The next prime is 513638530577. The reversal of 513638530560 is 65035836315.

It is a happy number.

513638530560 is a `hidden beast` number, since 5 + 1 + 3 + 6 + 3 + 85 + 3 + 0 + 560 = 666.

It is a tau number, because it is divible by the number of its divisors (320).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 44300124 + ... + 44311716.

It is an arithmetic number, because the mean of its divisors is an integer number (5710908753).

Almost surely, 2^513638530560 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 513638530560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (913745400480).

513638530560 is an abundant number, since it is smaller than the sum of its proper divisors (1313852270400).

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

513638530560 is a wasteful number, since it uses less digits than its factorization.

513638530560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12266 (or 12244 counting only the distinct ones).

The product of its (nonzero) digits is 972000, while the sum is 45.

The spelling of 513638530560 in words is "five hundred thirteen billion, six hundred thirty-eight million, five hundred thirty thousand, five hundred sixty".