5202 has 18 divisors (see below), whose sum is σ = 11973. Its totient is φ = 1632.

The previous prime is 5197. The next prime is 5209. The reversal of 5202 is 2025.

It can be written as a sum of positive squares in 2 ways, for example, as 4761 + 441 = 69^2 + 21^2 .

It is a tau number, because it is divible by the number of its divisors (18).

It is an ABA number since it can be written as A⋅B^{A}, here for A=2, B=51.

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

It is a plaindrome in base 11.

It is a nialpdrome in base 7.

It is an inconsummate number, since it does not exist a number *n* which divided by its sum of digits gives 5202.

It is not an unprimeable number, because it can be changed into a prime (5209) by changing a digit.

5202 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 298 + ... + 314.

2^{5202} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5202

5202 is an abundant number, since it is smaller than the sum of its proper divisors (6771).

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

5202 is a wasteful number, since it uses less digits than its factorization.

5202 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42 (or 22 counting only the distinct ones).

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

The square root of 5202 is about 72.1248916810. The cubic root of 5202 is about 17.3270029480.

Adding to 5202 its reverse (2025), we get a palindrome (7227).

The spelling of 5202 in words is "five thousand, two hundred two".

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