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263204993 is a prime number
BaseRepresentation
bin11111011000000…
…11000010000001
3200100021012101002
433230003002001
51014340024433
642041221345
76344130332
oct1754030201
9610235332
10263204993
11125632897
1274191855
13426b6ccc
1426d56289
15181919e8
hexfb03081

263204993 has 2 divisors, whose sum is σ = 263204994. Its totient is φ = 263204992.

The previous prime is 263204989. The next prime is 263205053. The reversal of 263204993 is 399402362.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 241740304 + 21464689 = 15548^2 + 4633^2 .

It is a cyclic number.

It is not a de Polignac number, because 263204993 - 22 = 263204989 is a prime.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (263204923) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 131602496 + 131602497.

It is an arithmetic number, because the mean of its divisors is an integer number (131602497).

Almost surely, 2263204993 is an apocalyptic number.

It is an amenable number.

263204993 is a deficient number, since it is larger than the sum of its proper divisors (1).

263204993 is an equidigital number, since it uses as much as digits as its factorization.

263204993 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 69984, while the sum is 38.

The square root of 263204993 is about 16223.5937140943. The cubic root of 263204993 is about 640.8622760421.

It can be divided in two parts, 26320 and 4993, that added together give a palindrome (31313).

The spelling of 263204993 in words is "two hundred sixty-three million, two hundred four thousand, nine hundred ninety-three".