517172680 has 64 divisors (see below), whose sum is σ = 1201213440. Its totient is φ = 200247552.

The previous prime is 517172651. The next prime is 517172683. The reversal of 517172680 is 86271715.

It is a Harshad number since it is a multiple of its sum of digits (37).

It is not an unprimeable number, because it can be changed into a prime (517172683) 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 15 ways as a sum of consecutive naturals, for example, 329257 + ... + 330823.

It is an arithmetic number, because the mean of its divisors is an integer number (18768960).

Almost surely, 2^517172680 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 517172680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (600606720).

517172680 is an abundant number, since it is smaller than the sum of its proper divisors (684040760).

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

517172680 is a wasteful number, since it uses less digits than its factorization.

517172680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1838 (or 1834 counting only the distinct ones).

The product of its (nonzero) digits is 23520, while the sum is 37.

The square root of 517172680 is about 22741.4309136431. The cubic root of 517172680 is about 802.6850820024.

The spelling of 517172680 in words is "five hundred seventeen million, one hundred seventy-two thousand, six hundred eighty".