502065216 has 224 divisors, whose sum is σ = 1589592960. Its totient is φ = 156764160.

The previous prime is 502065191. The next prime is 502065241. The reversal of 502065216 is 612560205.

502065216 is a `hidden beast` number, since 5 + 0 + 2 + 0 + 652 + 1 + 6 = 666.

It is an interprime number because it is at equal distance from previous prime (502065191) and next prime (502065241).

It is a super-2 number, since 2×502065216² = 504138962234253312, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a self number, because there is not a number n which added to its sum of digits gives 502065216.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2379351 + ... + 2379561.

Almost surely, 2^502065216 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 502065216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (794796480).

502065216 is an abundant number, since it is smaller than the sum of its proper divisors (1087527744).

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

502065216 is an equidigital number, since it uses as much as digits as its factorization.

502065216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 261 (or 233 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 27.

The square root of 502065216 is about 22406.8118214082. The cubic root of 502065216 is about 794.7918002326.

The spelling of 502065216 in words is "five hundred two million, sixty-five thousand, two hundred sixteen".