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261171604655981 is a prime number
BaseRepresentation
bin111011011000100011000000…
…101110001000111101101101
31021020201202120011212202022222
4323120203000232020331231
5233213013421242442411
62323244325005445125
7106004011555601615
oct7330430056107555
91236652504782288
10261171604655981
117624328a10a288
1225360981b707a5
13b2964b8636056
14486cab75c3a45
15202da15a224db
hexed88c0b88f6d

261171604655981 has 2 divisors, whose sum is σ = 261171604655982. Its totient is φ = 261171604655980.

The previous prime is 261171604655977. The next prime is 261171604656023. The reversal of 261171604655981 is 189556406171162.

It is a happy number.

261171604655981 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 205539533222500 + 55632071433481 = 14336650^2 + 7458691^2 .

It is a cyclic number.

It is not a de Polignac number, because 261171604655981 - 22 = 261171604655977 is a prime.

It is a super-2 number, since 2×2611716046559812 (a number of 30 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (261171604654981) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 130585802327990 + 130585802327991.

It is an arithmetic number, because the mean of its divisors is an integer number (130585802327991).

Almost surely, 2261171604655981 is an apocalyptic number.

It is an amenable number.

261171604655981 is a deficient number, since it is larger than the sum of its proper divisors (1).

261171604655981 is an equidigital number, since it uses as much as digits as its factorization.

261171604655981 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 21772800, while the sum is 62.

The spelling of 261171604655981 in words is "two hundred sixty-one trillion, one hundred seventy-one billion, six hundred four million, six hundred fifty-five thousand, nine hundred eighty-one".