Search a number
-
+
581291141 is a prime number
BaseRepresentation
bin100010101001011…
…100110010000101
31111111210122112112
4202221130302011
52142302304031
6133403030405
720255615234
oct4251346205
91444718475
10581291141
1127913a702
1214280b405
1393578072
14572b6b1b
153607462b
hex22a5cc85

581291141 has 2 divisors, whose sum is σ = 581291142. Its totient is φ = 581291140.

The previous prime is 581291107. The next prime is 581291173. The reversal of 581291141 is 141192185.

It is an a-pointer prime, because the next prime (581291173) can be obtained adding 581291141 to its sum of digits (32).

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 561453025 + 19838116 = 23695^2 + 4454^2 .

It is a cyclic number.

It is not a de Polignac number, because 581291141 - 26 = 581291077 is a prime.

It is a Sophie Germain prime.

It is a Chen prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 581291098 and 581291107.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (581291041) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 290645570 + 290645571.

It is an arithmetic number, because the mean of its divisors is an integer number (290645571).

Almost surely, 2581291141 is an apocalyptic number.

It is an amenable number.

581291141 is a deficient number, since it is larger than the sum of its proper divisors (1).

581291141 is an equidigital number, since it uses as much as digits as its factorization.

581291141 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 2880, while the sum is 32.

The square root of 581291141 is about 24109.9801119785. The cubic root of 581291141 is about 834.5734568326.

The spelling of 581291141 in words is "five hundred eighty-one million, two hundred ninety-one thousand, one hundred forty-one".