Search a number
-
+
261317141 is a prime number
BaseRepresentation
bin11111001001101…
…10001000010101
3200012201021201122
433210312020111
51013344122031
641532533325
76322105361
oct1744661025
9605637648
10261317141
11124563488
1273621245
13421a5937
14269c42a1
1517e1c47b
hexf936215

261317141 has 2 divisors, whose sum is σ = 261317142. Its totient is φ = 261317140.

The previous prime is 261317137. The next prime is 261317143. The reversal of 261317141 is 141713162.

261317141 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., 203176516 + 58140625 = 14254^2 + 7625^2 .

It is a cyclic number.

It is not a de Polignac number, because 261317141 - 22 = 261317137 is a prime.

It is a Sophie Germain prime.

Together with 261317143, it forms a pair of twin primes.

It is a Chen prime.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 261317141.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (261317143) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 130658570 + 130658571.

It is an arithmetic number, because the mean of its divisors is an integer number (130658571).

Almost surely, 2261317141 is an apocalyptic number.

It is an amenable number.

261317141 is a deficient number, since it is larger than the sum of its proper divisors (1).

261317141 is an equidigital number, since it uses as much as digits as its factorization.

261317141 is an evil number, because the sum of its binary digits is even.

The product of its digits is 1008, while the sum is 26.

The square root of 261317141 is about 16165.3067091225. The cubic root of 261317141 is about 639.3263916904.

The spelling of 261317141 in words is "two hundred sixty-one million, three hundred seventeen thousand, one hundred forty-one".