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253305641 is a prime number
BaseRepresentation
bin11110001100100…
…10001100101001
3122122122021000102
433012102030221
51004321240031
641045115145
76164030261
oct1706221451
9578567012
10253305641
1111aa91306
12709b8ab5
134062c1c4
14258da7a1
15173887cb
hexf192329

253305641 has 2 divisors, whose sum is σ = 253305642. Its totient is φ = 253305640.

The previous prime is 253305631. The next prime is 253305653. The reversal of 253305641 is 146503352.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 204375616 + 48930025 = 14296^2 + 6995^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-253305641 is a prime.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (253305631) 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, 126652820 + 126652821.

It is an arithmetic number, because the mean of its divisors is an integer number (126652821).

Almost surely, 2253305641 is an apocalyptic number.

It is an amenable number.

253305641 is a deficient number, since it is larger than the sum of its proper divisors (1).

253305641 is an equidigital number, since it uses as much as digits as its factorization.

253305641 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 10800, while the sum is 29.

The square root of 253305641 is about 15915.5785631563. The cubic root of 253305641 is about 632.7249407454.

Adding to 253305641 its reverse (146503352), we get a palindrome (399808993).

The spelling of 253305641 in words is "two hundred fifty-three million, three hundred five thousand, six hundred forty-one".