517208128 has 56 divisors (see below), whose sum is σ = 1057562528. Its totient is φ = 250822656.

The previous prime is 517208099. The next prime is 517208143. The reversal of 517208128 is 821802715.

It is a junction number, because it is equal to n+sod(n) for n = 517208093 and 517208102.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 448000 + ... + 449152.

Almost surely, 2^517208128 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 517208128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (528781264).

517208128 is an abundant number, since it is smaller than the sum of its proper divisors (540354400).

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

517208128 is a wasteful number, since it uses less digits than its factorization.

517208128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1371 (or 1361 counting only the distinct ones).

The product of its (nonzero) digits is 8960, while the sum is 34.

The square root of 517208128 is about 22742.2102707718. The cubic root of 517208128 is about 802.7034207713.

The spelling of 517208128 in words is "five hundred seventeen million, two hundred eight thousand, one hundred twenty-eight".