513615216216 has 128 divisors (see below), whose sum is σ = 1319729241600. Its totient is φ = 166483537920.

The previous prime is 513615216187. The next prime is 513615216217. The reversal of 513615216216 is 612612516315.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (513615216217) by changing a digit.

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, 271897000 + ... + 271898888.

It is an arithmetic number, because the mean of its divisors is an integer number (10310384700).

Almost surely, 2^513615216216 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 513615216216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (659864620800).

513615216216 is an abundant number, since it is smaller than the sum of its proper divisors (806114025384).

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

513615216216 is a wasteful number, since it uses less digits than its factorization.

513615216216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2969 (or 2965 counting only the distinct ones).

The product of its digits is 64800, while the sum is 39.

The spelling of 513615216216 in words is "five hundred thirteen billion, six hundred fifteen million, two hundred sixteen thousand, two hundred sixteen".