506126335771112 has 96 divisors (see below), whose sum is σ = 1133937726306120. Its totient is φ = 211015602524160.

The previous prime is 506126335771093. The next prime is 506126335771163. The reversal of 506126335771112 is 211177533621605.

It can be written as a sum of positive squares in 4 ways, for example, as 314968999937956 + 191157335833156 = 17747366^2 + 13825966^2 .

It is a super-2 number, since 2×506126335771112² (a number of 30 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 89517008 + ... + 95002880.

Almost surely, 2^{506126335771112} 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 506126335771112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (566968863153060).

506126335771112 is an abundant number, since it is smaller than the sum of its proper divisors (627811390535008).

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

506126335771112 is a wasteful number, since it uses less digits than its factorization.

506126335771112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5492291 (or 5492280 counting only the distinct ones).

The product of its (nonzero) digits is 1587600, while the sum is 50.

The spelling of 506126335771112 in words is "five hundred six trillion, one hundred twenty-six billion, three hundred thirty-five million, seven hundred seventy-one thousand, one hundred twelve".