506781132 has 96 divisors (see below), whose sum is σ = 1396410624. Its totient is φ = 141024000.

The previous prime is 506781131. The next prime is 506781139. The reversal of 506781132 is 231187605.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a junction number, because it is equal to n+sod(n) for n = 506781093 and 506781102.

It is not an unprimeable number, because it can be changed into a prime (506781131) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 388882 + ... + 390182.

It is an arithmetic number, because the mean of its divisors is an integer number (14545944).

Almost surely, 2^506781132 is an apocalyptic number.

506781132 is a gapful number since it is divisible by the number (52) 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 506781132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (698205312).

506781132 is an abundant number, since it is smaller than the sum of its proper divisors (889629492).

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

506781132 is a wasteful number, since it uses less digits than its factorization.

506781132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1559 (or 1557 counting only the distinct ones).

The product of its (nonzero) digits is 10080, while the sum is 33.

The square root of 506781132 is about 22511.7998391954. The cubic root of 506781132 is about 797.2725514311.

The spelling of 506781132 in words is "five hundred six million, seven hundred eighty-one thousand, one hundred thirty-two".