517213920 has 96 divisors (see below), whose sum is σ = 1681827840. Its totient is φ = 133470720.

The previous prime is 517213901. The next prime is 517213943. The reversal of 517213920 is 29312715.

517213920 is digitally balanced in base 6, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2500 + ... + 32259.

It is an arithmetic number, because the mean of its divisors is an integer number (17519040).

Almost surely, 2^517213920 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 517213920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (840913920).

517213920 is an abundant number, since it is smaller than the sum of its proper divisors (1164613920).

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

517213920 is a wasteful number, since it uses less digits than its factorization.

517213920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34808 (or 34800 counting only the distinct ones).

The product of its (nonzero) digits is 3780, while the sum is 30.

The square root of 517213920 is about 22742.3376107207. The cubic root of 517213920 is about 802.7064171413.

The spelling of 517213920 in words is "five hundred seventeen million, two hundred thirteen thousand, nine hundred twenty".