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263315441 is a prime number
BaseRepresentation
bin11111011000111…
…01111111110001
3200100110210212202
433230131333301
51014402043231
642043432545
76345100334
oct1754357761
9610423782
10263315441
111256a8874
1274225755
134272536c
1426d8461b
15181b45cb
hexfb1dff1

263315441 has 2 divisors, whose sum is σ = 263315442. Its totient is φ = 263315440.

The previous prime is 263315419. The next prime is 263315443. The reversal of 263315441 is 144513362.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 183033841 + 80281600 = 13529^2 + 8960^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-263315441 is a prime.

It is a super-3 number, since 3×2633154413 (a number of 26 digits) contains 333 as substring.

Together with 263315443, it forms a pair of twin primes.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (263315443) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 131657720 + 131657721.

It is an arithmetic number, because the mean of its divisors is an integer number (131657721).

Almost surely, 2263315441 is an apocalyptic number.

It is an amenable number.

263315441 is a deficient number, since it is larger than the sum of its proper divisors (1).

263315441 is an equidigital number, since it uses as much as digits as its factorization.

263315441 is an evil number, because the sum of its binary digits is even.

The product of its digits is 8640, while the sum is 29.

The square root of 263315441 is about 16226.9972884696. The cubic root of 263315441 is about 640.9519046081.

The spelling of 263315441 in words is "two hundred sixty-three million, three hundred fifteen thousand, four hundred forty-one".