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205232513 is a prime number
BaseRepresentation
bin11000011101110…
…01100110000001
3112022011220002012
430032321212001
5410014420023
632210502305
75041306343
oct1416714601
9468156065
10205232513
11a5937252
1258894995
1333699b75
141d385293
151303e978
hexc3b9981

205232513 has 2 divisors, whose sum is σ = 205232514. Its totient is φ = 205232512.

The previous prime is 205232501. The next prime is 205232539. The reversal of 205232513 is 315232502.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 149401729 + 55830784 = 12223^2 + 7472^2 .

It is a cyclic number.

It is not a de Polignac number, because 205232513 - 24 = 205232497 is a prime.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (205232543) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 102616256 + 102616257.

It is an arithmetic number, because the mean of its divisors is an integer number (102616257).

Almost surely, 2205232513 is an apocalyptic number.

It is an amenable number.

205232513 is a deficient number, since it is larger than the sum of its proper divisors (1).

205232513 is an equidigital number, since it uses as much as digits as its factorization.

205232513 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1800, while the sum is 23.

The square root of 205232513 is about 14325.9384683866. The cubic root of 205232513 is about 589.8596937267.

The spelling of 205232513 in words is "two hundred five million, two hundred thirty-two thousand, five hundred thirteen".