Search a number
-
+
253758161 is a prime number
BaseRepresentation
bin11110010000000…
…00101011010001
3122200111020202102
433020000223101
51004430230121
641102530145
76200623466
oct1710005321
9580436672
10253758161
11120270298
1270b96955
134075a177
14259b766d
151742790b
hexf200ad1

253758161 has 2 divisors, whose sum is σ = 253758162. Its totient is φ = 253758160.

The previous prime is 253758119. The next prime is 253758163. The reversal of 253758161 is 161857352.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 180741136 + 73017025 = 13444^2 + 8545^2 .

It is a cyclic number.

It is not a de Polignac number, because 253758161 - 214 = 253741777 is a prime.

Together with 253758163, it forms a pair of twin primes.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (253758163) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 126879080 + 126879081.

It is an arithmetic number, because the mean of its divisors is an integer number (126879081).

Almost surely, 2253758161 is an apocalyptic number.

It is an amenable number.

253758161 is a deficient number, since it is larger than the sum of its proper divisors (1).

253758161 is an equidigital number, since it uses as much as digits as its factorization.

253758161 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 50400, while the sum is 38.

The square root of 253758161 is about 15929.7884794494. The cubic root of 253758161 is about 633.1014955379.

The spelling of 253758161 in words is "two hundred fifty-three million, seven hundred fifty-eight thousand, one hundred sixty-one".