506751336 has 384 divisors, whose sum is σ = 1838592000. Its totient is φ = 128024064.

The previous prime is 506751331. The next prime is 506751373. The reversal of 506751336 is 633157605.

It is a happy number.

506751336 is a `hidden beast` number, since 50 + 67 + 513 + 36 = 666.

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

It is a self number, because there is not a number n which added to its sum of digits gives 506751336.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (506751331) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3990105 + ... + 3990231.

It is an arithmetic number, because the mean of its divisors is an integer number (4788000).

Almost surely, 2^506751336 is an apocalyptic number.

506751336 is a gapful number since it is divisible by the number (56) 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 506751336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (919296000).

506751336 is an abundant number, since it is smaller than the sum of its proper divisors (1331840664).

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

506751336 is a wasteful number, since it uses less digits than its factorization.

506751336 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 198 (or 181 counting only the distinct ones).

The product of its (nonzero) digits is 56700, while the sum is 36.

The square root of 506751336 is about 22511.1380431999. The cubic root of 506751336 is about 797.2569260148.

The spelling of 506751336 in words is "five hundred six million, seven hundred fifty-one thousand, three hundred thirty-six".