501133644 has 72 divisors (see below), whose sum is σ = 1394947008. Its totient is φ = 150426720.

The previous prime is 501133579. The next prime is 501133649. The reversal of 501133644 is 446331105.

501133644 is a `hidden beast` number, since 5 + 0 + 1 + 13 + 3 + 644 = 666.

It is a super-2 number, since 2×501133644² = 502269858297437472, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (501133649) 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 23 ways as a sum of consecutive naturals, for example, 36459 + ... + 48285.

It is an arithmetic number, because the mean of its divisors is an integer number (19374264).

Almost surely, 2^501133644 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 501133644, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (697473504).

501133644 is an abundant number, since it is smaller than the sum of its proper divisors (893813364).

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

501133644 is a wasteful number, since it uses less digits than its factorization.

501133644 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11955 (or 11950 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

The square root of 501133644 is about 22386.0144733269. The cubic root of 501133644 is about 794.2999224367.

Adding to 501133644 its reverse (446331105), we get a palindrome (947464749).

The spelling of 501133644 in words is "five hundred one million, one hundred thirty-three thousand, six hundred forty-four".