501105640 has 64 divisors (see below), whose sum is σ = 1292060160. Its totient is φ = 171340800.

The previous prime is 501105629. The next prime is 501105659. The reversal of 501105640 is 46501105.

It is a super-2 number, since 2×501105640² = 502213724879619200, which contains 22 as substring.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 110049 + ... + 114511.

It is an arithmetic number, because the mean of its divisors is an integer number (20188440).

Almost surely, 2^501105640 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 501105640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (646030080).

501105640 is an abundant number, since it is smaller than the sum of its proper divisors (790954520).

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

501105640 is a wasteful number, since it uses less digits than its factorization.

501105640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4882 (or 4878 counting only the distinct ones).

The product of its (nonzero) digits is 600, while the sum is 22.

The square root of 501105640 is about 22385.3889847820. The cubic root of 501105640 is about 794.2851266567.

Adding to 501105640 its reverse (46501105), we get a palindrome (547606745).

The spelling of 501105640 in words is "five hundred one million, one hundred five thousand, six hundred forty".