501142032 has 160 divisors (see below), whose sum is σ = 1550376960. Its totient is φ = 154535040.

The previous prime is 501142003. The next prime is 501142039. The reversal of 501142032 is 230241105.

It is a super-2 number, since 2×501142032² = 502286672474178048, 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 = 501141996 and 501142014.

It is not an unprimeable number, because it can be changed into a prime (501142039) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 307203 + ... + 308829.

It is an arithmetic number, because the mean of its divisors is an integer number (9689856).

Almost surely, 2^501142032 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 501142032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (775188480).

501142032 is an abundant number, since it is smaller than the sum of its proper divisors (1049234928).

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

501142032 is a wasteful number, since it uses less digits than its factorization.

501142032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1698 (or 1686 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 501142032 is about 22386.2018216579. The cubic root of 501142032 is about 794.3043540892.

Adding to 501142032 its reverse (230241105), we get a palindrome (731383137).

The spelling of 501142032 in words is "five hundred one million, one hundred forty-two thousand, thirty-two".