517832220488 has 108 divisors (see below), whose sum is σ = 1082625279435. Its totient is φ = 232030128000.

The previous prime is 517832220481. The next prime is 517832220491. The reversal of 517832220488 is 884022238715.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 5 ways, for example, as 466295048164 + 51537172324 = 682858^2 + 227018^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=508838.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (517832220481) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 2261275958 + ... + 2261276186.

Almost surely, 2^517832220488 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 517832220488

517832220488 is an abundant number, since it is smaller than the sum of its proper divisors (564793058947).

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

517832220488 is a wasteful number, since it uses less digits than its factorization.

517832220488 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 688 (or 343 counting only the distinct ones).

The product of its (nonzero) digits is 1720320, while the sum is 50.

Multiplying 517832220488 by its sum of digits (50), we get a square (25891611024400 = 5088380²).

The spelling of 517832220488 in words is "five hundred seventeen billion, eight hundred thirty-two million, two hundred twenty thousand, four hundred eighty-eight".