Search a number
-
+
261606337 is a prime number
BaseRepresentation
bin11111001011111…
…00101111000001
3200020020222102121
433211330233001
51013432400322
641543044241
76324421456
oct1745745701
9606228377
10261606337
11124740793
1273740681
1342277465
1426a5b82d
1517e77ec7
hexf97cbc1

261606337 has 2 divisors, whose sum is σ = 261606338. Its totient is φ = 261606336.

The previous prime is 261606313. The next prime is 261606341. The reversal of 261606337 is 733606162.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 184851216 + 76755121 = 13596^2 + 8761^2 .

It is a cyclic number.

It is not a de Polignac number, because 261606337 - 215 = 261573569 is a prime.

It is not a weakly prime, because it can be changed into another prime (261606637) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 130803168 + 130803169.

It is an arithmetic number, because the mean of its divisors is an integer number (130803169).

Almost surely, 2261606337 is an apocalyptic number.

It is an amenable number.

261606337 is a deficient number, since it is larger than the sum of its proper divisors (1).

261606337 is an equidigital number, since it uses as much as digits as its factorization.

261606337 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 27216, while the sum is 34.

The square root of 261606337 is about 16174.2491943212. The cubic root of 261606337 is about 639.5621492468.

The spelling of 261606337 in words is "two hundred sixty-one million, six hundred six thousand, three hundred thirty-seven".