501612336 has 240 divisors, whose sum is σ = 1587755520. Its totient is φ = 146995200.

The previous prime is 501612301. The next prime is 501612361. The reversal of 501612336 is 633216105.

501612336 is a `hidden beast` number, since 501 + 6 + 123 + 36 = 666.

It is a super-2 number, since 2×501612336² = 503229871254753792, which contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3321861 + ... + 3322011.

It is an arithmetic number, because the mean of its divisors is an integer number (6615648).

Almost surely, 2^501612336 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 501612336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (793877760).

501612336 is an abundant number, since it is smaller than the sum of its proper divisors (1086143184).

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

501612336 is a wasteful number, since it uses less digits than its factorization.

501612336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 264 (or 255 counting only the distinct ones).

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

The square root of 501612336 is about 22396.7036860338. The cubic root of 501612336 is about 794.5527518773.

The spelling of 501612336 in words is "five hundred one million, six hundred twelve thousand, three hundred thirty-six".