Search a number
-
+
259041152391181 is a prime number
BaseRepresentation
bin111010111001100010110111…
…110111101101100000001101
31020222012002111022002020001221
4322321202313313231200031
5232423112240003004211
62314533510152003341
7105364051145255116
oct7271426767554015
91228162438066057
10259041152391181
11755a1810377106
1225077ab1990551
13b1706255b9664
1447d793157b20d
151ee33c5146c71
hexeb98b7ded80d

259041152391181 has 2 divisors, whose sum is σ = 259041152391182. Its totient is φ = 259041152391180.

The previous prime is 259041152391169. The next prime is 259041152391227. The reversal of 259041152391181 is 181193251140952.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 252121490615556 + 6919661775625 = 15878334^2 + 2630525^2 .

It is a cyclic number.

It is not a de Polignac number, because 259041152391181 - 211 = 259041152389133 is a prime.

It is a super-2 number, since 2×2590411523911812 (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 (259041152391101) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 129520576195590 + 129520576195591.

It is an arithmetic number, because the mean of its divisors is an integer number (129520576195591).

Almost surely, 2259041152391181 is an apocalyptic number.

It is an amenable number.

259041152391181 is a deficient number, since it is larger than the sum of its proper divisors (1).

259041152391181 is an equidigital number, since it uses as much as digits as its factorization.

259041152391181 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 777600, while the sum is 52.

The spelling of 259041152391181 in words is "two hundred fifty-nine trillion, forty-one billion, one hundred fifty-two million, three hundred ninety-one thousand, one hundred eighty-one".