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261282288240041 is a prime number
BaseRepresentation
bin111011011010001010000101…
…111110100000010110101001
31021021010100020220120101202012
4323122022011332200112221
5233221322111242140131
62323411232015045305
7106015010450542535
oct7332120576402651
91237110226511665
10261282288240041
11762862181071a2
122537a311810835
13b2a3a77645363
1448741b74aabc5
152031842b4852b
hexeda285fa05a9

261282288240041 has 2 divisors, whose sum is σ = 261282288240042. Its totient is φ = 261282288240040.

The previous prime is 261282288239957. The next prime is 261282288240073. The reversal of 261282288240041 is 140042882282162.

261282288240041 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., 254769354558016 + 6512933682025 = 15961496^2 + 2552045^2 .

It is a cyclic number.

It is not a de Polignac number, because 261282288240041 - 222 = 261282284045737 is a prime.

It is not a weakly prime, because it can be changed into another prime (261282288249041) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 130641144120020 + 130641144120021.

It is an arithmetic number, because the mean of its divisors is an integer number (130641144120021).

Almost surely, 2261282288240041 is an apocalyptic number.

It is an amenable number.

261282288240041 is a deficient number, since it is larger than the sum of its proper divisors (1).

261282288240041 is an equidigital number, since it uses as much as digits as its factorization.

261282288240041 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 1572864, while the sum is 50.

The spelling of 261282288240041 in words is "two hundred sixty-one trillion, two hundred eighty-two billion, two hundred eighty-eight million, two hundred forty thousand, forty-one".