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253189337441 is a prime number
BaseRepresentation
bin1110101111001101000…
…0101011000101100001
3220012112012101222121012
43223303100223011201
513122012432244231
6312151422110305
724202160600435
oct3536320530541
9805465358535
10253189337441
1198416864717
12410a071b395
131ab4ca66401
14c37c2229c5
1568bcd0ce2b
hex3af342b161

253189337441 has 2 divisors, whose sum is σ = 253189337442. Its totient is φ = 253189337440.

The previous prime is 253189337437. The next prime is 253189337503. The reversal of 253189337441 is 144733981352.

253189337441 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 181309046416 + 71880291025 = 425804^2 + 268105^2 .

It is a cyclic number.

It is not a de Polignac number, because 253189337441 - 22 = 253189337437 is a prime.

It is a Sophie Germain prime.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 253189337441.

It is not a weakly prime, because it can be changed into another prime (253189337341) 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, 126594668720 + 126594668721.

It is an arithmetic number, because the mean of its divisors is an integer number (126594668721).

Almost surely, 2253189337441 is an apocalyptic number.

It is an amenable number.

253189337441 is a deficient number, since it is larger than the sum of its proper divisors (1).

253189337441 is an equidigital number, since it uses as much as digits as its factorization.

253189337441 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 2177280, while the sum is 50.

The spelling of 253189337441 in words is "two hundred fifty-three billion, one hundred eighty-nine million, three hundred thirty-seven thousand, four hundred forty-one".