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253164610073 is a prime number
BaseRepresentation
bin1110101111000111001…
…0010110001000011001
3220012110110212201000202
43223301302112020121
513121440120010243
6312145140111545
724201440452124
oct3536162261031
9805413781022
10253164610073
1198403905681
12410943955b5
131ab478b932b
14c378c273bb
1568baa764b8
hex3af1c96219

253164610073 has 2 divisors, whose sum is σ = 253164610074. Its totient is φ = 253164610072.

The previous prime is 253164610033. The next prime is 253164610099. The reversal of 253164610073 is 370016461352.

253164610073 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 215033456089 + 38131153984 = 463717^2 + 195272^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-253164610073 is a prime.

It is not a weakly prime, because it can be changed into another prime (253164610003) 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, 126582305036 + 126582305037.

It is an arithmetic number, because the mean of its divisors is an integer number (126582305037).

Almost surely, 2253164610073 is an apocalyptic number.

It is an amenable number.

253164610073 is a deficient number, since it is larger than the sum of its proper divisors (1).

253164610073 is an equidigital number, since it uses as much as digits as its factorization.

253164610073 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 90720, while the sum is 38.

The spelling of 253164610073 in words is "two hundred fifty-three billion, one hundred sixty-four million, six hundred ten thousand, seventy-three".