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12535041550441 is a prime number
BaseRepresentation
bin1011011001101000101010…
…1100101110100001101001
31122101100010121011000110111
42312122022230232201221
53120333231114103231
642354304003214321
72432425005111454
oct266321254564151
948340117130414
1012535041550441
113aa3099192843
1214a54600773a1
136cc08454b797
143149b0a4649b
1516b0ea0904b1
hexb668ab2e869

12535041550441 has 2 divisors, whose sum is σ = 12535041550442. Its totient is φ = 12535041550440.

The previous prime is 12535041550439. The next prime is 12535041550483. The reversal of 12535041550441 is 14405514053521.

12535041550441 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., 10631538444816 + 1903503105625 = 3260604^2 + 1379675^2 .

It is a cyclic number.

It is not a de Polignac number, because 12535041550441 - 21 = 12535041550439 is a prime.

Together with 12535041550439, it forms a pair of twin primes.

It is a junction number, because it is equal to n+sod(n) for n = 12535041550394 and 12535041550403.

It is not a weakly prime, because it can be changed into another prime (12535042550441) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6267520775220 + 6267520775221.

It is an arithmetic number, because the mean of its divisors is an integer number (6267520775221).

Almost surely, 212535041550441 is an apocalyptic number.

It is an amenable number.

12535041550441 is a deficient number, since it is larger than the sum of its proper divisors (1).

12535041550441 is an equidigital number, since it uses as much as digits as its factorization.

12535041550441 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 240000, while the sum is 40.

The spelling of 12535041550441 in words is "twelve trillion, five hundred thirty-five billion, forty-one million, five hundred fifty thousand, four hundred forty-one".