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263553424355297 is a prime number
BaseRepresentation
bin111011111011001101010000…
…001111001110111111100001
31021120011110110021212000020002
4323323031100033032333201
5234021024403113332142
62332310434404025345
7106341051355155626
oct7373152017167741
91246143407760202
10263553424355297
1176a8141a25247a
1225686504692255
13b409c9ab2a48b
1449120a78b434d
1520709692c7a32
hexefb3503cefe1

263553424355297 has 2 divisors, whose sum is σ = 263553424355298. Its totient is φ = 263553424355296.

The previous prime is 263553424355279. The next prime is 263553424355303. The reversal of 263553424355297 is 792553424355362.

Together with previous prime (263553424355279) it forms an Ormiston pair, because they use the same digits, order apart.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 157590261822016 + 105963162533281 = 12553496^2 + 10293841^2 .

It is a cyclic number.

It is not a de Polignac number, because 263553424355297 - 28 = 263553424355041 is a prime.

It is not a weakly prime, because it can be changed into another prime (263553424355597) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 131776712177648 + 131776712177649.

It is an arithmetic number, because the mean of its divisors is an integer number (131776712177649).

Almost surely, 2263553424355297 is an apocalyptic number.

It is an amenable number.

263553424355297 is a deficient number, since it is larger than the sum of its proper divisors (1).

263553424355297 is an equidigital number, since it uses as much as digits as its factorization.

263553424355297 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 816480000, while the sum is 65.

Adding to 263553424355297 its sum of digits (65), we get a palindrome (263553424355362).

The spelling of 263553424355297 in words is "two hundred sixty-three trillion, five hundred fifty-three billion, four hundred twenty-four million, three hundred fifty-five thousand, two hundred ninety-seven".