513906863616 has 240 divisors, whose sum is σ = 1587709094400. Its totient is φ = 159534157824.

The previous prime is 513906863593. The next prime is 513906863621. The reversal of 513906863616 is 616368609315.

513906863616 is a `hidden beast` number, since 5 + 13 + 9 + 0 + 6 + 8 + 6 + 3 + 616 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5115825 + ... + 5215311.

It is an arithmetic number, because the mean of its divisors is an integer number (6615454560).

Almost surely, 2^513906863616 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 513906863616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (793854547200).

513906863616 is an abundant number, since it is smaller than the sum of its proper divisors (1073802230784).

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

513906863616 is a wasteful number, since it uses less digits than its factorization.

513906863616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 99589 (or 99570 counting only the distinct ones).

The product of its (nonzero) digits is 4199040, while the sum is 54.

The spelling of 513906863616 in words is "five hundred thirteen billion, nine hundred six million, eight hundred sixty-three thousand, six hundred sixteen".