506017522840242 has 128 divisors (see below), whose sum is σ = 1218622030940160. Its totient is φ = 136839341053440.

The previous prime is 506017522840241. The next prime is 506017522840327. The reversal of 506017522840242 is 242048225710605.

It is a junction number, because it is equal to n+sod(n) for n = 506017522840191 and 506017522840200.

It is not an unprimeable number, because it can be changed into a prime (506017522840241) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 16043150992 + ... + 16043182532.

It is an arithmetic number, because the mean of its divisors is an integer number (9520484616720).

Almost surely, 2^{506017522840242} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 506017522840242, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (609311015470080).

506017522840242 is an abundant number, since it is smaller than the sum of its proper divisors (712604508099918).

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

506017522840242 is a wasteful number, since it uses less digits than its factorization.

506017522840242 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 49696.

The product of its (nonzero) digits is 2150400, while the sum is 48.

The spelling of 506017522840242 in words is "five hundred six trillion, seventeen billion, five hundred twenty-two million, eight hundred forty thousand, two hundred forty-two".