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52000213 is a prime number
BaseRepresentation
bin1100011001011…
…1010111010101
310121211212212211
43012113113111
5101303001323
65054313421
71200665056
oct306272725
9117755784
1052000213
1127397591
12154b8871
13aa08975
146c9872d
15487270d
hex31975d5

52000213 has 2 divisors, whose sum is σ = 52000214. Its totient is φ = 52000212.

The previous prime is 52000211. The next prime is 52000253. The reversal of 52000213 is 31200025.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 41254929 + 10745284 = 6423^2 + 3278^2 .

It is a cyclic number.

It is not a de Polignac number, because 52000213 - 21 = 52000211 is a prime.

Together with 52000211, it forms a pair of twin primes.

It is a junction number, because it is equal to n+sod(n) for n = 52000193 and 52000202.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (52000211) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 26000106 + 26000107.

It is an arithmetic number, because the mean of its divisors is an integer number (26000107).

Almost surely, 252000213 is an apocalyptic number.

It is an amenable number.

52000213 is a deficient number, since it is larger than the sum of its proper divisors (1).

52000213 is an equidigital number, since it uses as much as digits as its factorization.

52000213 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 60, while the sum is 13.

The square root of 52000213 is about 7211.1173198056. The cubic root of 52000213 is about 373.2516253124.

Adding to 52000213 its reverse (31200025), we get a palindrome (83200238).

The spelling of 52000213 in words is "fifty-two million, two hundred thirteen", and thus it is an aban number.