513969960960 has 672 divisors, whose sum is σ = 1909498631040. Its totient is φ = 132577689600.

The previous prime is 513969960947. The next prime is 513969960997. The reversal of 513969960960 is 69069969315.

513969960960 is a `hidden beast` number, since 5 + 13 + 9 + 6 + 9 + 9 + 609 + 6 + 0 = 666.

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, 231412650 + ... + 231414870.

It is an arithmetic number, because the mean of its divisors is an integer number (2841515820).

Almost surely, 2^513969960960 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 513969960960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (954749315520).

513969960960 is an abundant number, since it is smaller than the sum of its proper divisors (1395528670080).

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

513969960960 is an equidigital number, since it uses as much as digits as its factorization.

513969960960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2297 (or 2262 counting only the distinct ones).

The product of its (nonzero) digits is 21257640, while the sum is 63.

The spelling of 513969960960 in words is "five hundred thirteen billion, nine hundred sixty-nine million, nine hundred sixty thousand, nine hundred sixty".