513216610544 has 160 divisors (see below), whose sum is σ = 1127719535616. Its totient is φ = 224245186560.

The previous prime is 513216610499. The next prime is 513216610549. The reversal of 513216610544 is 445016612315.

It is a junction number, because it is equal to n+sod(n) for n = 513216610498 and 513216610507.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (513216610549) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 155189339 + ... + 155192645.

Almost surely, 2^513216610544 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 513216610544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (563859767808).

513216610544 is an abundant number, since it is smaller than the sum of its proper divisors (614502925072).

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

513216610544 is a wasteful number, since it uses less digits than its factorization.

513216610544 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3703 (or 3697 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 38.

The spelling of 513216610544 in words is "five hundred thirteen billion, two hundred sixteen million, six hundred ten thousand, five hundred forty-four".