517106304 has 384 divisors, whose sum is σ = 1813331520. Its totient is φ = 139345920.

The previous prime is 517106273. The next prime is 517106311. The reversal of 517106304 is 403601715.

517106304 is a `hidden beast` number, since 5 + 17 + 10 + 630 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7083612 + ... + 7083684.

Almost surely, 2^517106304 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 517106304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (906665760).

517106304 is an abundant number, since it is smaller than the sum of its proper divisors (1296225216).

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

517106304 is a wasteful number, since it uses less digits than its factorization.

517106304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 160 (or 145 counting only the distinct ones).

The product of its (nonzero) digits is 2520, while the sum is 27.

The square root of 517106304 is about 22739.9715039399. The cubic root of 517106304 is about 802.6507406005.

The spelling of 517106304 in words is "five hundred seventeen million, one hundred six thousand, three hundred four".