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2585353 is a prime number
BaseRepresentation
bin1001110111001100001001
311212100102211
421313030021
51130212403
6131225121
730655321
oct11671411
94770384
102585353
111506461
12a481a1
136c69c4
144b4281
1536106d
hex277309

2585353 has 2 divisors, whose sum is σ = 2585354. Its totient is φ = 2585352.

The previous prime is 2585351. The next prime is 2585357. The reversal of 2585353 is 3535852.

2585353 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 2286144 + 299209 = 1512^2 + 547^2 .

It is a cyclic number.

It is not a de Polignac number, because 2585353 - 21 = 2585351 is a prime.

Together with 2585351, it forms a pair of twin primes.

It is not a weakly prime, because it can be changed into another prime (2585351) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1292676 + 1292677.

It is an arithmetic number, because the mean of its divisors is an integer number (1292677).

22585353 is an apocalyptic number.

It is an amenable number.

2585353 is a deficient number, since it is larger than the sum of its proper divisors (1).

2585353 is an equidigital number, since it uses as much as digits as its factorization.

2585353 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 18000, while the sum is 31.

The square root of 2585353 is about 1607.9032931119. The cubic root of 2585353 is about 137.2481870535.

The spelling of 2585353 in words is "two million, five hundred eighty-five thousand, three hundred fifty-three".