517130208 has 288 divisors, whose sum is σ = 1811496960. Its totient is φ = 136581120.

The previous prime is 517130197. The next prime is 517130227. The reversal of 517130208 is 802031715.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×517130208² = 534847304052246528, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2707393 + ... + 2707583.

It is an arithmetic number, because the mean of its divisors is an integer number (6289920).

Almost surely, 2^517130208 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 517130208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (905748480).

517130208 is an abundant number, since it is smaller than the sum of its proper divisors (1294366752).

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

517130208 is a wasteful number, since it uses less digits than its factorization.

517130208 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 310 (or 299 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 27.

The square root of 517130208 is about 22740.4970921922. The cubic root of 517130208 is about 802.6631083139.

The spelling of 517130208 in words is "five hundred seventeen million, one hundred thirty thousand, two hundred eight".