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205597535089 is a prime number
BaseRepresentation
bin1011111101111010010…
…0010110101101110001
3201122200110000221002211
42333132210112231301
511332030432110324
6234241124412121
720565620133202
oct2773644265561
9648613027084
10205597535089
117a2144a3161
1233a1a247041
1316506bc270b
149d456875a9
155534aad294
hex2fde916b71

205597535089 has 2 divisors, whose sum is σ = 205597535090. Its totient is φ = 205597535088.

The previous prime is 205597535041. The next prime is 205597535147. The reversal of 205597535089 is 980535795502.

It is an a-pointer prime, because the next prime (205597535147) can be obtained adding 205597535089 to its sum of digits (58).

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 188829357025 + 16768178064 = 434545^2 + 129492^2 .

It is a cyclic number.

It is not a de Polignac number, because 205597535089 - 227 = 205463317361 is a prime.

It is not a weakly prime, because it can be changed into another prime (205597535009) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 102798767544 + 102798767545.

It is an arithmetic number, because the mean of its divisors is an integer number (102798767545).

Almost surely, 2205597535089 is an apocalyptic number.

It is an amenable number.

205597535089 is a deficient number, since it is larger than the sum of its proper divisors (1).

205597535089 is an equidigital number, since it uses as much as digits as its factorization.

205597535089 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 17010000, while the sum is 58.

The spelling of 205597535089 in words is "two hundred five billion, five hundred ninety-seven million, five hundred thirty-five thousand, eighty-nine".