5213000 has 64 divisors (see below), whose sum is σ = 13169520. Its totient is φ = 1920000.

The previous prime is 5212993. The next prime is 5213023. The reversal of 5213000 is 3125.

It can be written as a sum of positive squares in 8 ways, for example, as 538756 + 4674244 = 734^2 + 2162^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 12800 + ... + 13200.

Almost surely, 2^5213000 is an apocalyptic number.

5213000 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 5213000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6584760).

5213000 is an abundant number, since it is smaller than the sum of its proper divisors (7956520).

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

5213000 is a wasteful number, since it uses less digits than its factorization.

5213000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 435 (or 421 counting only the distinct ones).

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

The square root of 5213000 is about 2283.1995094604. The cubic root of 5213000 is about 173.3920741082.

Adding to 5213000 its reverse (3125), we get a palindrome (5216125).

The spelling of 5213000 in words is "five million, two hundred thirteen thousand".