517140720563142 has 128 divisors (see below), whose sum is σ = 1176289523619840. Its totient is φ = 150254162472960.

The previous prime is 517140720563107. The next prime is 517140720563153. The reversal of 517140720563142 is 241365027041715.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 517140720563091 and 517140720563100.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1018459642 + ... + 1018967282.

It is an arithmetic number, because the mean of its divisors is an integer number (9189761903280).

Almost surely, 2^{517140720563142} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 517140720563142, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (588144761809920).

517140720563142 is an abundant number, since it is smaller than the sum of its proper divisors (659148803056698).

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

517140720563142 is a wasteful number, since it uses less digits than its factorization.

517140720563142 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 509918.

The product of its (nonzero) digits is 1411200, while the sum is 48.

The spelling of 517140720563142 in words is "five hundred seventeen trillion, one hundred forty billion, seven hundred twenty million, five hundred sixty-three thousand, one hundred forty-two".