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1253312017 is a prime number
BaseRepresentation
bin100101010110100…
…0000011000010001
310020100022211212121
41022231000120101
510031321441032
6324210454241
743025655616
oct11255003021
93210284777
101253312017
11593509961
122ab894381
1316c86c259
14bc64a50d
157506ba97
hex4ab40611

1253312017 has 2 divisors, whose sum is σ = 1253312018. Its totient is φ = 1253312016.

The previous prime is 1253311999. The next prime is 1253312033. The reversal of 1253312017 is 7102133521.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1075249681 + 178062336 = 32791^2 + 13344^2 .

It is a cyclic number.

It is not a de Polignac number, because 1253312017 - 27 = 1253311889 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 1253311982 and 1253312000.

It is not a weakly prime, because it can be changed into another prime (1253312617) 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, 626656008 + 626656009.

It is an arithmetic number, because the mean of its divisors is an integer number (626656009).

Almost surely, 21253312017 is an apocalyptic number.

It is an amenable number.

1253312017 is a deficient number, since it is larger than the sum of its proper divisors (1).

1253312017 is an equidigital number, since it uses as much as digits as its factorization.

1253312017 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1260, while the sum is 25.

The square root of 1253312017 is about 35402.1470676568. The cubic root of 1253312017 is about 1078.1679092095.

Adding to 1253312017 its reverse (7102133521), we get a palindrome (8355445538).

The spelling of 1253312017 in words is "one billion, two hundred fifty-three million, three hundred twelve thousand, seventeen".