Search a number
-
+
253126241 is a prime number
BaseRepresentation
bin11110001011001…
…10011001100001
3122122022010220222
433011212121201
51004300014431
641041212425
76162352244
oct1705463141
9578263828
10253126241
1111a979545
1270931115
1340598654
142589125b
151735057b
hexf166661

253126241 has 2 divisors, whose sum is σ = 253126242. Its totient is φ = 253126240.

The previous prime is 253126207. The next prime is 253126261. The reversal of 253126241 is 142621352.

It is a happy number.

253126241 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., 243235216 + 9891025 = 15596^2 + 3145^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-253126241 is a prime.

It is a Chen prime.

It is a self number, because there is not a number n which added to its sum of digits gives 253126241.

It is not a weakly prime, because it can be changed into another prime (253126261) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 126563120 + 126563121.

It is an arithmetic number, because the mean of its divisors is an integer number (126563121).

Almost surely, 2253126241 is an apocalyptic number.

It is an amenable number.

253126241 is a deficient number, since it is larger than the sum of its proper divisors (1).

253126241 is an equidigital number, since it uses as much as digits as its factorization.

253126241 is an evil number, because the sum of its binary digits is even.

The product of its digits is 2880, while the sum is 26.

The square root of 253126241 is about 15909.9415775169. The cubic root of 253126241 is about 632.5755327523.

Adding to 253126241 its reverse (142621352), we get a palindrome (395747593).

The spelling of 253126241 in words is "two hundred fifty-three million, one hundred twenty-six thousand, two hundred forty-one".