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261262336056133 is a prime number
BaseRepresentation
bin111011011001110111100000…
…101110111101101101000101
31021021001102202102000102211211
4323121313200232331231011
5233221010231012244013
62323354132114331421
7106013403146016256
oct7331674056755505
91237042672012754
10261262336056133
1176278809677105
1225376483889b71
13b2a1c17b3ca89
1448732436b0b2d
1520310761c523d
hexed9de0bbdb45

261262336056133 has 2 divisors, whose sum is σ = 261262336056134. Its totient is φ = 261262336056132.

The previous prime is 261262336056131. The next prime is 261262336056221. The reversal of 261262336056133 is 331650633262162.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 254173445781124 + 7088890275009 = 15942818^2 + 2662497^2 .

It is a cyclic number.

It is not a de Polignac number, because 261262336056133 - 21 = 261262336056131 is a prime.

Together with 261262336056131, it forms a pair of twin primes.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (261262336056131) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 130631168028066 + 130631168028067.

It is an arithmetic number, because the mean of its divisors is an integer number (130631168028067).

Almost surely, 2261262336056133 is an apocalyptic number.

It is an amenable number.

261262336056133 is a deficient number, since it is larger than the sum of its proper divisors (1).

261262336056133 is an equidigital number, since it uses as much as digits as its factorization.

261262336056133 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 4199040, while the sum is 49.

The spelling of 261262336056133 in words is "two hundred sixty-one trillion, two hundred sixty-two billion, three hundred thirty-six million, fifty-six thousand, one hundred thirty-three".