517042080 has 144 divisors (see below), whose sum is σ = 1868283144. Its totient is φ = 129761280.

The previous prime is 517042067. The next prime is 517042111. The reversal of 517042080 is 80240715.

It can be written as a sum of positive squares in 4 ways, for example, as 497646864 + 19395216 = 22308^2 + 4404^2 .

It is a tau number, because it is divible by the number of its divisors (144).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 13920 + ... + 35040.

Almost surely, 2^517042080 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 517042080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (934141572).

517042080 is an abundant number, since it is smaller than the sum of its proper divisors (1351241064).

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

517042080 is a wasteful number, since it uses less digits than its factorization.

517042080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21159 (or 21148 counting only the distinct ones).

The product of its (nonzero) digits is 2240, while the sum is 27.

The square root of 517042080 is about 22738.5593211179. The cubic root of 517042080 is about 802.6175097961.

Adding to 517042080 its reverse (80240715), we get a palindrome (597282795).

The spelling of 517042080 in words is "five hundred seventeen million, forty-two thousand, eighty".