501000 has 64 divisors (see below), whose sum is σ = 1572480. Its totient is φ = 132800.

The previous prime is 500977. The next prime is 501001. The reversal of 501000 is 105.

501000 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (6).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is a self number, because there is not a number n which added to its sum of digits gives 501000.

It is not an unprimeable number, because it can be changed into a prime (501001) by changing a digit.

501000 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2917 + ... + 3083.

It is an arithmetic number, because the mean of its divisors is an integer number (24570).

2⁵⁰¹⁰⁰⁰ is an apocalyptic number.

501000 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 501000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (786240).

501000 is an abundant number, since it is smaller than the sum of its proper divisors (1071480).

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

501000 is a wasteful number, since it uses less digits than its factorization.

501000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 191 (or 177 counting only the distinct ones).

The product of its (nonzero) digits is 5, while the sum is 6.

The square root of 501000 is about 707.8135347675. The cubic root of 501000 is about 79.4229307304.

Adding to 501000 its reverse (105), we get a palindrome (501105).

The spelling of 501000 in words is "five hundred one thousand".