517425168 has 160 divisors (see below), whose sum is σ = 1503542656. Its totient is φ = 152285184.

The previous prime is 517425151. The next prime is 517425191. The reversal of 517425168 is 861524715.

It is a hoax number, since the sum of its digits (39) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (39).

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 31 ways as a sum of consecutive naturals, for example, 1685271 + ... + 1685577.

Almost surely, 2^517425168 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 517425168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (751771328).

517425168 is an abundant number, since it is smaller than the sum of its proper divisors (986117488).

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

517425168 is a wasteful number, since it uses less digits than its factorization.

517425168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 441 (or 435 counting only the distinct ones).

The product of its digits is 67200, while the sum is 39.

The square root of 517425168 is about 22746.9815140383. The cubic root of 517425168 is about 802.8156865930.

The spelling of 517425168 in words is "five hundred seventeen million, four hundred twenty-five thousand, one hundred sixty-eight".