513839071616 has 256 divisors, whose sum is σ = 1182342873600. Its totient is φ = 220465152000.

The previous prime is 513839071579. The next prime is 513839071621. The reversal of 513839071616 is 616170938315.

It is a super-3 number, since 3×513839071616³ (a number of 36 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 579299525 + ... + 579300411.

It is an arithmetic number, because the mean of its divisors is an integer number (4618526850).

Almost surely, 2^513839071616 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 513839071616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (591171436800).

513839071616 is an abundant number, since it is smaller than the sum of its proper divisors (668503801984).

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

513839071616 is a wasteful number, since it uses less digits than its factorization.

513839071616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1257 (or 1245 counting only the distinct ones).

The product of its (nonzero) digits is 816480, while the sum is 50.

The spelling of 513839071616 in words is "five hundred thirteen billion, eight hundred thirty-nine million, seventy-one thousand, six hundred sixteen".