5202000 has 180 divisors, whose sum is σ = 19300476. Its totient is φ = 1305600.

The previous prime is 5201993. The next prime is 5202023. The reversal of 5202000 is 2025.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 6 ways, for example, as 484416 + 4717584 = 696^2 + 2172^2 .

It is a tau number, because it is divible by the number of its divisors (180).

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 305992 + ... + 306008.

Almost surely, 2^5202000 is an apocalyptic number.

5202000 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 5202000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9650238).

5202000 is an abundant number, since it is smaller than the sum of its proper divisors (14098476).

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

5202000 is a wasteful number, since it uses less digits than its factorization.

5202000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 63 (or 27 counting only the distinct ones).

The product of its (nonzero) digits is 20, while the sum is 9.

The square root of 5202000 is about 2280.7893370498. The cubic root of 5202000 is about 173.2700294803.

Multiplying 5202000 by its product of nonzero digits (20), we get a square (104040000 = 10200²).

5202000 divided by its product of nonzero digits (20) gives a square (260100 = 510²).

Adding to 5202000 its reverse (2025), we get a palindrome (5204025).

The spelling of 5202000 in words is "five million, two hundred two thousand".