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261431265021781 is a prime number
BaseRepresentation
bin111011011100010100110101…
…101011110100111101010101
31021021122120210100200001001011
4323130110311223310331111
5233231242212321144111
62324003510512332221
7106031533313361301
oct7334246553647525
91237576710601034
10261431265021781
1176333416673318
12253a3169844071
13b2b4b29c1840a
14487b4aadc8d01
1520356619ac021
hexedc535af4f55

261431265021781 has 2 divisors, whose sum is σ = 261431265021782. Its totient is φ = 261431265021780.

The previous prime is 261431265021769. The next prime is 261431265021889. The reversal of 261431265021781 is 187120562134162.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 207555165900625 + 53876099121156 = 14406775^2 + 7340034^2 .

It is a cyclic number.

It is not a de Polignac number, because 261431265021781 - 27 = 261431265021653 is a prime.

It is a super-2 number, since 2×2614312650217812 (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 (261431265121781) 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, 130715632510890 + 130715632510891.

It is an arithmetic number, because the mean of its divisors is an integer number (130715632510891).

Almost surely, 2261431265021781 is an apocalyptic number.

It is an amenable number.

261431265021781 is a deficient number, since it is larger than the sum of its proper divisors (1).

261431265021781 is an equidigital number, since it uses as much as digits as its factorization.

261431265021781 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 967680, while the sum is 49.

The spelling of 261431265021781 in words is "two hundred sixty-one trillion, four hundred thirty-one billion, two hundred sixty-five million, twenty-one thousand, seven hundred eighty-one".