513630648960 has 1024 divisors, whose sum is σ = 2004073021440. Its totient is φ = 110223360000.

The previous prime is 513630648917. The next prime is 513630648967. The reversal of 513630648960 is 69846036315.

It is a happy number.

It is a super-3 number, since 3×513630648960³ (a number of 36 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (513630648967) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 683928585 + ... + 683929335.

It is an arithmetic number, because the mean of its divisors is an integer number (1957102560).

Almost surely, 2^513630648960 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 513630648960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1002036510720).

513630648960 is an abundant number, since it is smaller than the sum of its proper divisors (1490442372480).

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

513630648960 is a wasteful number, since it uses less digits than its factorization.

513630648960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 897 (or 885 counting only the distinct ones).

The product of its (nonzero) digits is 2799360, while the sum is 51.

The spelling of 513630648960 in words is "five hundred thirteen billion, six hundred thirty million, six hundred forty-eight thousand, nine hundred sixty".