500213000 has 128 divisors (see below), whose sum is σ = 1408492800. Its totient is φ = 162432000.

The previous prime is 500212987. The next prime is 500213059. The reversal of 500213000 is 312005.

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, 131120 + ... + 134880.

It is an arithmetic number, because the mean of its divisors is an integer number (11003850).

Almost surely, 2^500213000 is an apocalyptic number.

500213000 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 500213000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (704246400).

500213000 is an abundant number, since it is smaller than the sum of its proper divisors (908279800).

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

500213000 is a wasteful number, since it uses less digits than its factorization.

500213000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3808 (or 3794 counting only the distinct ones).

The product of its (nonzero) digits is 30, while the sum is 11.

The square root of 500213000 is about 22365.4420926571. The cubic root of 500213000 is about 793.8132154584.

Adding to 500213000 its reverse (312005), we get a palindrome (500525005).

The spelling of 500213000 in words is "five hundred million, two hundred thirteen thousand".