5206500 has 144 divisors (see below), whose sum is σ = 17886960. Its totient is φ = 1267200.

The previous prime is 5206489. The next prime is 5206511. The reversal of 5206500 is 56025.

It is an interprime number because it is at equal distance from previous prime (5206489) and next prime (5206511).

It can be written as a sum of positive squares in 8 ways, for example, as 3526884 + 1679616 = 1878^2 + 1296^2 .

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 58456 + ... + 58544.

It is an arithmetic number, because the mean of its divisors is an integer number (124215).

Almost surely, 2^5206500 is an apocalyptic number.

5206500 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 5206500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8943480).

5206500 is an abundant number, since it is smaller than the sum of its proper divisors (12680460).

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

5206500 is a wasteful number, since it uses less digits than its factorization.

5206500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 127 (or 112 counting only the distinct ones).

The product of its (nonzero) digits is 300, while the sum is 18.

The square root of 5206500 is about 2281.7756243768. The cubic root of 5206500 is about 173.3199776034.

The spelling of 5206500 in words is "five million, two hundred six thousand, five hundred".