517431621160 has 64 divisors (see below), whose sum is σ = 1177949984400. Its totient is φ = 204534528000.

The previous prime is 517431621151. The next prime is 517431621197. The reversal of 517431621160 is 61126134715.

It can be written as a sum of positive squares in 8 ways, for example, as 66565032004 + 450866589156 = 258002^2 + 671466^2 .

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, 6586110 + ... + 6664210.

Almost surely, 2^517431621160 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 517431621160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (588974992200).

517431621160 is an abundant number, since it is smaller than the sum of its proper divisors (660518363240).

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

517431621160 is a wasteful number, since it uses less digits than its factorization.

517431621160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 80062 (or 80058 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 37.

Adding to 517431621160 its reverse (61126134715), we get a palindrome (578557755875).

It can be divided in two parts, 5174316 and 21160, that added together give a triangular number (5195476 = T₃₂₂₃).

The spelling of 517431621160 in words is "five hundred seventeen billion, four hundred thirty-one million, six hundred twenty-one thousand, one hundred sixty".