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261364331 is a prime number
BaseRepresentation
bin11111001010000…
…01101001101011
3200012210200110102
433211001221223
51013402124311
641533540015
76322363064
oct1745015153
9605720412
10261364331
11124595988
127364460b
13421c1267
14269d756b
1517e2b43b
hexf941a6b

261364331 has 2 divisors, whose sum is σ = 261364332. Its totient is φ = 261364330.

The previous prime is 261364283. The next prime is 261364373. The reversal of 261364331 is 133463162.

It is a strong prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-261364331 is a prime.

It is a super-2 number, since 2×2613643312 = 136622627038155122, which contains 22 as substring.

It is a Chen prime.

It is equal to p14266307 and since 261364331 and 14266307 have the same sum of digits, it is a Honaker prime.

It is a junction number, because it is equal to n+sod(n) for n = 261364294 and 261364303.

It is not a weakly prime, because it can be changed into another prime (261364391) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 130682165 + 130682166.

It is an arithmetic number, because the mean of its divisors is an integer number (130682166).

Almost surely, 2261364331 is an apocalyptic number.

261364331 is a deficient number, since it is larger than the sum of its proper divisors (1).

261364331 is an equidigital number, since it uses as much as digits as its factorization.

261364331 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 7776, while the sum is 29.

The square root of 261364331 is about 16166.7662505524. The cubic root of 261364331 is about 639.3648736622.

The spelling of 261364331 in words is "two hundred sixty-one million, three hundred sixty-four thousand, three hundred thirty-one".