517585872 has 20 divisors (see below), whose sum is σ = 1337096960. Its totient is φ = 172528608.

The previous prime is 517585867. The next prime is 517585891. The reversal of 517585872 is 278585715.

It is a Harshad number since it is a multiple of its sum of digits (48), and also a Moran number because the ratio is a prime number: 10783039 = 517585872 / (5 + 1 + 7 + 5 + 8 + 5 + 8 + 7 + 2).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 5391472 + ... + 5391567.

It is an arithmetic number, because the mean of its divisors is an integer number (66854848).

Almost surely, 2^517585872 is an apocalyptic number.

It is an amenable number.

517585872 is an abundant number, since it is smaller than the sum of its proper divisors (819511088).

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

517585872 is a wasteful number, since it uses less digits than its factorization.

517585872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10783050 (or 10783044 counting only the distinct ones).

The product of its digits is 784000, while the sum is 48.

The square root of 517585872 is about 22750.5136645307. The cubic root of 517585872 is about 802.8987919035.

It can be divided in two parts, 51758 and 5872, that added together give a triangular number (57630 = T₃₃₉).

The spelling of 517585872 in words is "five hundred seventeen million, five hundred eighty-five thousand, eight hundred seventy-two".