506831611104 has 720 divisors, whose sum is σ = 1872927923328. Its totient is φ = 131621428224.

The previous prime is 506831611061. The next prime is 506831611123. The reversal of 506831611104 is 401116138605.

It is a happy number.

506831611104 is a `hidden beast` number, since 5 + 0 + 6 + 8 + 31 + 611 + 1 + 0 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 205443279 + ... + 205445745.

Almost surely, 2^506831611104 is an apocalyptic number.

506831611104 is a gapful number since it is divisible by the number (54) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 506831611104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (936463961664).

506831611104 is an abundant number, since it is smaller than the sum of its proper divisors (1366096312224).

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

506831611104 is a wasteful number, since it uses less digits than its factorization.

506831611104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2589 (or 2559 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 36.

Adding to 506831611104 its reverse (401116138605), we get a palindrome (907947749709).

The spelling of 506831611104 in words is "five hundred six billion, eight hundred thirty-one million, six hundred eleven thousand, one hundred four".