517118472 has 128 divisors (see below), whose sum is σ = 1572816000. Its totient is φ = 156453120.

The previous prime is 517118467. The next prime is 517118479. The reversal of 517118472 is 274811715.

517118472 is a `hidden beast` number, since 5 + 171 + 18 + 472 = 666.

It is a super-2 number, since 2×517118472² = 534823028167229568, which contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (517118479) by changing a digit.

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, 169779 + ... + 172797.

It is an arithmetic number, because the mean of its divisors is an integer number (12287625).

Almost surely, 2^517118472 is an apocalyptic number.

517118472 is a gapful number since it is divisible by the number (52) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 517118472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (786408000).

517118472 is an abundant number, since it is smaller than the sum of its proper divisors (1055697528).

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

517118472 is a wasteful number, since it uses less digits than its factorization.

517118472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3108 (or 3098 counting only the distinct ones).

The product of its digits is 15680, while the sum is 36.

The square root of 517118472 is about 22740.2390488755. The cubic root of 517118472 is about 802.6570362613.

The spelling of 517118472 in words is "five hundred seventeen million, one hundred eighteen thousand, four hundred seventy-two".