501137472 has 224 divisors, whose sum is σ = 1526097024. Its totient is φ = 144967680.

The previous prime is 501137471. The next prime is 501137473. The reversal of 501137472 is 274731105.

It is an interprime number because it is at equal distance from previous prime (501137471) and next prime (501137473).

It is a super-2 number, since 2×501137472² = 502277531685101568, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (501137471) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 9455398 + ... + 9455450.

Almost surely, 2^501137472 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 501137472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (763048512).

501137472 is an abundant number, since it is smaller than the sum of its proper divisors (1024959552).

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

501137472 is a wasteful number, since it uses less digits than its factorization.

501137472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 138 (or 106 counting only the distinct ones).

The product of its (nonzero) digits is 5880, while the sum is 30.

The square root of 501137472 is about 22386.0999729743. The cubic root of 501137472 is about 794.3019448994.

Adding to 501137472 its reverse (274731105), we get a palindrome (775868577).

The spelling of 501137472 in words is "five hundred one million, one hundred thirty-seven thousand, four hundred seventy-two".