501312 has 56 divisors (see below), whose sum is σ = 1519936. Its totient is φ = 142848.

The previous prime is 501299. The next prime is 501317. The reversal of 501312 is 213105.

It is a tau number, because it is divible by the number of its divisors (56).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is not an unprimeable number, because it can be changed into a prime (501317) by changing a digit.

501312 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, 1158 + ... + 1530.

2⁵⁰¹³¹² 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 501312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (759968).

501312 is an abundant number, since it is smaller than the sum of its proper divisors (1018624).

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

501312 is a wasteful number, since it uses less digits than its factorization.

501312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 395 (or 385 counting only the distinct ones).

The product of its (nonzero) digits is 30, while the sum is 12.

The square root of 501312 is about 708.0338974936. The cubic root of 501312 is about 79.4394143047.

Adding to 501312 its reverse (213105), we get a palindrome (714417).

The spelling of 501312 in words is "five hundred one thousand, three hundred twelve".