Search a number
-
+
265553212049 is a prime number
BaseRepresentation
bin1111011101010000110…
…1000111001010010001
3221101102212012220001222
43313110031013022101
513322323110241144
6321554330534425
725120441026206
oct3672415071221
9841385186058
10265553212049
11a2690957704
1243571297415
131c070401448
14cbd22bdcad
156d934a82ee
hex3dd4347291

265553212049 has 2 divisors, whose sum is σ = 265553212050. Its totient is φ = 265553212048.

The previous prime is 265553212033. The next prime is 265553212063. The reversal of 265553212049 is 940212355562.

It is a happy number.

265553212049 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., 216544107649 + 49009104400 = 465343^2 + 221380^2 .

It is a cyclic number.

It is not a de Polignac number, because 265553212049 - 24 = 265553212033 is a prime.

It is not a weakly prime, because it can be changed into another prime (265553212079) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 132776606024 + 132776606025.

It is an arithmetic number, because the mean of its divisors is an integer number (132776606025).

Almost surely, 2265553212049 is an apocalyptic number.

It is an amenable number.

265553212049 is a deficient number, since it is larger than the sum of its proper divisors (1).

265553212049 is an equidigital number, since it uses as much as digits as its factorization.

265553212049 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 648000, while the sum is 44.

The spelling of 265553212049 in words is "two hundred sixty-five billion, five hundred fifty-three million, two hundred twelve thousand, forty-nine".