5208500 has 48 divisors (see below), whose sum is σ = 12422592. Its totient is φ = 1892000.

The previous prime is 5208481. The next prime is 5208521. The reversal of 5208500 is 58025.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5027 + ... + 5973.

It is an arithmetic number, because the mean of its divisors is an integer number (258804).

Almost surely, 2^5208500 is an apocalyptic number.

5208500 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 5208500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6211296).

5208500 is an abundant number, since it is smaller than the sum of its proper divisors (7214092).

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

5208500 is a wasteful number, since it uses less digits than its factorization.

5208500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 977 (or 965 counting only the distinct ones).

The product of its (nonzero) digits is 400, while the sum is 20.

The square root of 5208500 is about 2282.2138374832. The cubic root of 5208500 is about 173.3421675313.

The spelling of 5208500 in words is "five million, two hundred eight thousand, five hundred".