517115256240 has 640 divisors, whose sum is σ = 1851310080000. Its totient is φ = 118241751040.

The previous prime is 517115256199. The next prime is 517115256241. The reversal of 517115256240 is 42652511715.

It is not an unprimeable number, because it can be changed into a prime (517115256241) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1079572321 + ... + 1079572799.

It is an arithmetic number, because the mean of its divisors is an integer number (2892672000).

Almost surely, 2^517115256240 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 517115256240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (925655040000).

517115256240 is an abundant number, since it is smaller than the sum of its proper divisors (1334194823760).

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

517115256240 is a wasteful number, since it uses less digits than its factorization.

517115256240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 833 (or 827 counting only the distinct ones).

The product of its (nonzero) digits is 84000, while the sum is 39.

Adding to 517115256240 its reverse (42652511715), we get a palindrome (559767767955).

The spelling of 517115256240 in words is "five hundred seventeen billion, one hundred fifteen million, two hundred fifty-six thousand, two hundred forty".