506106031032 has 256 divisors, whose sum is σ = 1692080640000. Its totient is φ = 136923696000.

The previous prime is 506106031021. The next prime is 506106031033. The reversal of 506106031032 is 230130601605.

506106031032 is a `hidden beast` number, since 5 + 0 + 6 + 10 + 603 + 10 + 32 = 666.

It is a super-2 number, since 2×506106031032² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 506106030987 and 506106031005.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (506106031033) 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, 93392019 + ... + 93397437.

It is an arithmetic number, because the mean of its divisors is an integer number (6609690000).

Almost surely, 2^506106031032 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 506106031032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (846040320000).

506106031032 is an abundant number, since it is smaller than the sum of its proper divisors (1185974608968).

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

506106031032 is a wasteful number, since it uses less digits than its factorization.

506106031032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8711 (or 8701 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 27.

Adding to 506106031032 its reverse (230130601605), we get a palindrome (736236632637).

The spelling of 506106031032 in words is "five hundred six billion, one hundred six million, thirty-one thousand, thirty-two".