501952 has 56 divisors (see below), whose sum is σ = 1170432. Its totient is φ = 211200.

The previous prime is 501947. The next prime is 501953. The reversal of 501952 is 259105.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a zygodrome in base 3.

It is not an unprimeable number, because it can be changed into a prime (501953) by changing a digit.

501952 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 7 ways as a sum of consecutive naturals, for example, 16177 + ... + 16207.

2⁵⁰¹⁹⁵² 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 501952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (585216).

501952 is an abundant number, since it is smaller than the sum of its proper divisors (668480).

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

501952 is a wasteful number, since it uses less digits than its factorization.

501952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 77 (or 67 counting only the distinct ones).

The product of its (nonzero) digits is 450, while the sum is 22.

The square root of 501952 is about 708.4857091008. The cubic root of 501952 is about 79.4732053736.

It can be divided in two parts, 50 and 1952, that added together give a palindrome (2002).

The spelling of 501952 in words is "five hundred one thousand, nine hundred fifty-two".