501216 has 48 divisors (see below), whose sum is σ = 1378944. Its totient is φ = 159104.

The previous prime is 501209. The next prime is 501217. The reversal of 501216 is 612105.

It is a tau number, because it is divible by the number of its divisors (48).

It is an alternating number because its digits alternate between odd and even.

It is a junction number, because it is equal to n+sod(n) for n = 501195 and 501204.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (501217) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2095 + ... + 2321.

It is an arithmetic number, because the mean of its divisors is an integer number (28728).

2⁵⁰¹²¹⁶ 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 501216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (689472).

501216 is an abundant number, since it is smaller than the sum of its proper divisors (877728).

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

501216 is a wasteful number, since it uses less digits than its factorization.

501216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 263 (or 255 counting only the distinct ones).

The product of its (nonzero) digits is 60, while the sum is 15.

The square root of 501216 is about 707.9661008834. The cubic root of 501216 is about 79.4343431643.

Subtracting 501216 from its reverse (612105), we obtain a square (110889 = 333²).

It can be divided in two parts, 501 and 216, that added together give a palindrome (717).

The spelling of 501216 in words is "five hundred one thousand, two hundred sixteen".