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85661033153 is a prime number
BaseRepresentation
bin100111111000111001…
…0111010001011000001
322012002212100100120112
41033301302322023001
52400413211030103
6103204021121105
76121521524303
oct1176162721301
9265085310515
1085661033153
1133368469083
1214727859195
138101c0b587
14420894d973
15236549bcd8
hex13f1cba2c1

85661033153 has 2 divisors, whose sum is σ = 85661033154. Its totient is φ = 85661033152.

The previous prime is 85661033137. The next prime is 85661033167. The reversal of 85661033153 is 35133016658.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 85338184129 + 322849024 = 292127^2 + 17968^2 .

It is a cyclic number.

It is not a de Polignac number, because 85661033153 - 24 = 85661033137 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 85661033153.

It is not a weakly prime, because it can be changed into another prime (85661033173) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 42830516576 + 42830516577.

It is an arithmetic number, because the mean of its divisors is an integer number (42830516577).

Almost surely, 285661033153 is an apocalyptic number.

It is an amenable number.

85661033153 is a deficient number, since it is larger than the sum of its proper divisors (1).

85661033153 is an equidigital number, since it uses as much as digits as its factorization.

85661033153 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 194400, while the sum is 41.

The spelling of 85661033153 in words is "eighty-five billion, six hundred sixty-one million, thirty-three thousand, one hundred fifty-three".