501135120 has 80 divisors (see below), whose sum is σ = 1726139520. Its totient is φ = 133635456.

The previous prime is 501135079. The next prime is 501135149. The reversal of 501135120 is 21531105.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×501135120² = 502272816994828800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 501135093 and 501135102.

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, 113844 + ... + 118163.

It is an arithmetic number, because the mean of its divisors is an integer number (21576744).

Almost surely, 2^501135120 is an apocalyptic number.

It is an amenable number.

501135120 is an abundant number, since it is smaller than the sum of its proper divisors (1225004400).

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

501135120 is a wasteful number, since it uses less digits than its factorization.

501135120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 232029 (or 232017 counting only the distinct ones).

The product of its (nonzero) digits is 150, while the sum is 18.

The square root of 501135120 is about 22386.0474403142. The cubic root of 501135120 is about 794.3007022589.

Adding to 501135120 its reverse (21531105), we get a palindrome (522666225).

The spelling of 501135120 in words is "five hundred one million, one hundred thirty-five thousand, one hundred twenty".