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254201588561 is a prime number
BaseRepresentation
bin1110110010111110011…
…0000110101101010001
3220022010202010200002102
43230233212012231101
513131101101313221
6312440102130145
724236231565044
oct3545746065521
9808122120072
10254201588561
1198896195998
1241323720955
131ac816a297b
14c43683cc5b
15692bb0e30b
hex3b2f986b51

254201588561 has 2 divisors, whose sum is σ = 254201588562. Its totient is φ = 254201588560.

The previous prime is 254201588527. The next prime is 254201588569. The reversal of 254201588561 is 165885102452.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 158384100625 + 95817487936 = 397975^2 + 309544^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-254201588561 is a prime.

It is not a weakly prime, because it can be changed into another prime (254201588569) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 127100794280 + 127100794281.

It is an arithmetic number, because the mean of its divisors is an integer number (127100794281).

Almost surely, 2254201588561 is an apocalyptic number.

It is an amenable number.

254201588561 is a deficient number, since it is larger than the sum of its proper divisors (1).

254201588561 is an equidigital number, since it uses as much as digits as its factorization.

254201588561 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 768000, while the sum is 47.

The spelling of 254201588561 in words is "two hundred fifty-four billion, two hundred one million, five hundred eighty-eight thousand, five hundred sixty-one".