502113312 has 72 divisors (see below), whose sum is σ = 1437590700. Its totient is φ = 166233600.

The previous prime is 502113307. The next prime is 502113371. The reversal of 502113312 is 213311205.

It can be written as a sum of positive squares in 2 ways, for example, as 499790736 + 2322576 = 22356^2 + 1524^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 37062 + ... + 48762.

Almost surely, 2^502113312 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 502113312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (718795350).

502113312 is an abundant number, since it is smaller than the sum of its proper divisors (935477388).

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

502113312 is a wasteful number, since it uses less digits than its factorization.

502113312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11866 (or 11855 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 18.

The square root of 502113312 is about 22407.8850407619. The cubic root of 502113312 is about 794.8171787988.

Adding to 502113312 its reverse (213311205), we get a palindrome (715424517).

The spelling of 502113312 in words is "five hundred two million, one hundred thirteen thousand, three hundred twelve".