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263314666413349 is a prime number
BaseRepresentation
bin111011110111101110111001…
…001001111101110100100101
31021112022122011211122212120021
4323313232321021331310211
5234003121414100211344
62332005030544435141
7106314566621145415
oct7367567111756445
91245278154585507
10263314666413349
117699a1396558a1
1225648191018ab1
13b3c060ab87755
1449046d8182645
152069643413b84
hexef7bb927dd25

263314666413349 has 2 divisors, whose sum is σ = 263314666413350. Its totient is φ = 263314666413348.

The previous prime is 263314666413263. The next prime is 263314666413397. The reversal of 263314666413349 is 943314666413362.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 193326082430625 + 69988583982724 = 13904175^2 + 8365918^2 .

It is a cyclic number.

It is not a de Polignac number, because 263314666413349 - 223 = 263314658024741 is a prime.

It is a super-2 number, since 2×2633146664133492 (a number of 30 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (263314666416349) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 131657333206674 + 131657333206675.

It is an arithmetic number, because the mean of its divisors is an integer number (131657333206675).

Almost surely, 2263314666413349 is an apocalyptic number.

It is an amenable number.

263314666413349 is a deficient number, since it is larger than the sum of its proper divisors (1).

263314666413349 is an equidigital number, since it uses as much as digits as its factorization.

263314666413349 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 120932352, while the sum is 61.

The spelling of 263314666413349 in words is "two hundred sixty-three trillion, three hundred fourteen billion, six hundred sixty-six million, four hundred thirteen thousand, three hundred forty-nine".