517742172 has 96 divisors (see below), whose sum is σ = 1421414400. Its totient is φ = 162518400.

The previous prime is 517742171. The next prime is 517742189. The reversal of 517742172 is 271247715.

517742172 is a `hidden beast` number, since 517 + 74 + 2 + 1 + 72 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (517742171) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 391272 + ... + 392592.

It is an arithmetic number, because the mean of its divisors is an integer number (14806400).

Almost surely, 2^517742172 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 517742172, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (710707200).

517742172 is an abundant number, since it is smaller than the sum of its proper divisors (903672228).

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

517742172 is a wasteful number, since it uses less digits than its factorization.

517742172 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1544 (or 1536 counting only the distinct ones).

The product of its digits is 27440, while the sum is 36.

The square root of 517742172 is about 22753.9484925144. The cubic root of 517742172 is about 802.9796032612.

Adding to 517742172 its reverse (271247715), we get a palindrome (788989887).

The spelling of 517742172 in words is "five hundred seventeen million, seven hundred forty-two thousand, one hundred seventy-two".