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5213 = 13401
BaseRepresentation
bin1010001011101
321011002
41101131
5131323
640045
721125
oct12135
97132
105213
113a0a
123025
1324b0
141c85
151828
hex145d

5213 has 4 divisors (see below), whose sum is σ = 5628. Its totient is φ = 4800.

The previous prime is 5209. The next prime is 5227. The reversal of 5213 is 3125.

Adding to 5213 its reverse (3125), we get a palindrome (8338).

It can be divided in two parts, 52 and 13, that multiplied together give a palindrome (676).

It is a semiprime because it is the product of two primes.

It can be written as a sum of positive squares in 2 ways, for example, as 3364 + 1849 = 58^2 + 43^2 .

It is a cyclic number.

It is not a de Polignac number, because 5213 - 22 = 5209 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is a plaindrome in base 16.

It is a junction number, because it is equal to n+sod(n) for n = 5194 and 5203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5233) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 188 + ... + 213.

It is an arithmetic number, because the mean of its divisors is an integer number (1407).

25213 is an apocalyptic number.

It is an amenable number.

5213 is a deficient number, since it is larger than the sum of its proper divisors (415).

5213 is a wasteful number, since it uses less digits than its factorization.

5213 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 414.

The product of its digits is 30, while the sum is 11.

The square root of 5213 is about 72.2011080247. The cubic root of 5213 is about 17.3392074108.

The spelling of 5213 in words is "five thousand, two hundred thirteen".

Divisors: 1 13 401 5213