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263213681 is a prime number
BaseRepresentation
bin11111011000001…
…01001001110001
3200100021122021212
433230011021301
51014340314211
642041325505
76344164553
oct1754051161
9610248255
10263213681
11125639375
1274196895
13426bac53
1426d594d3
151819438b
hexfb05271

263213681 has 2 divisors, whose sum is σ = 263213682. Its totient is φ = 263213680.

The previous prime is 263213663. The next prime is 263213683. The reversal of 263213681 is 186312362.

263213681 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., 262958656 + 255025 = 16216^2 + 505^2 .

It is a cyclic number.

It is not a de Polignac number, because 263213681 - 26 = 263213617 is a prime.

It is a super-2 number, since 2×2632136812 = 138562883731139522, which contains 22 as substring.

Together with 263213683, 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 (263213683) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 131606840 + 131606841.

It is an arithmetic number, because the mean of its divisors is an integer number (131606841).

Almost surely, 2263213681 is an apocalyptic number.

It is an amenable number.

263213681 is a deficient number, since it is larger than the sum of its proper divisors (1).

263213681 is an equidigital number, since it uses as much as digits as its factorization.

263213681 is an evil number, because the sum of its binary digits is even.

The product of its digits is 10368, while the sum is 32.

The square root of 263213681 is about 16223.8614700693. The cubic root of 263213681 is about 640.8693272637.

The spelling of 263213681 in words is "two hundred sixty-three million, two hundred thirteen thousand, six hundred eighty-one".