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253564770089 is a prime number
BaseRepresentation
bin1110110000100110100…
…0110101011100101001
3220020111100211221101002
43230021220311130221
513123300040120324
6312252553004345
724214366661321
oct3541150653451
9806440757332
10253564770089
119859977a834
12411863b36b5
131abac7856c7
14c3b6030281
1568e0c6c3ae
hex3b09a35729

253564770089 has 2 divisors, whose sum is σ = 253564770090. Its totient is φ = 253564770088.

The previous prime is 253564770071. The next prime is 253564770091. The reversal of 253564770089 is 980077465352.

253564770089 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., 155623938064 + 97940832025 = 394492^2 + 312955^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-253564770089 is a prime.

It is a Sophie Germain prime.

Together with 253564770091, it forms a pair of twin primes.

It is a Chen prime.

It is a Curzon number.

It is not a weakly prime, because it can be changed into another prime (253564773089) 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, 126782385044 + 126782385045.

It is an arithmetic number, because the mean of its divisors is an integer number (126782385045).

Almost surely, 2253564770089 is an apocalyptic number.

It is an amenable number.

253564770089 is a deficient number, since it is larger than the sum of its proper divisors (1).

253564770089 is an equidigital number, since it uses as much as digits as its factorization.

253564770089 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 12700800, while the sum is 56.

The spelling of 253564770089 in words is "two hundred fifty-three billion, five hundred sixty-four million, seven hundred seventy thousand, eighty-nine".