5205000 has 80 divisors (see below), whose sum is σ = 16307280. Its totient is φ = 1384000.

The previous prime is 5204999. The next prime is 5205001. The reversal of 5205000 is 5025.

It is an interprime number because it is at equal distance from previous prime (5204999) and next prime (5205001).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is not an unprimeable number, because it can be changed into a prime (5205001) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 14827 + ... + 15173.

It is an arithmetic number, because the mean of its divisors is an integer number (203841).

Almost surely, 2^5205000 is an apocalyptic number.

5205000 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 5205000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8153640).

5205000 is an abundant number, since it is smaller than the sum of its proper divisors (11102280).

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

5205000 is a wasteful number, since it uses less digits than its factorization.

5205000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 376 (or 357 counting only the distinct ones).

The product of its (nonzero) digits is 50, while the sum is 12.

The square root of 5205000 is about 2281.4469093100. The cubic root of 5205000 is about 173.3033314280.

The spelling of 5205000 in words is "five million, two hundred five thousand".