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252111329 is a prime number
BaseRepresentation
bin11110000011011…
…10100111100001
3122120101120201122
433001232213201
51004020030304
641003342025
76150624311
oct1701564741
9576346648
10252111329
1111a345a78
1270521915
1340301702
14256a9441
15171ee9be
hexf06e9e1

252111329 has 2 divisors, whose sum is σ = 252111330. Its totient is φ = 252111328.

The previous prime is 252111311. The next prime is 252111331. The reversal of 252111329 is 923111252.

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., 199939600 + 52171729 = 14140^2 + 7223^2 .

It is a cyclic number.

It is not a de Polignac number, because 252111329 - 220 = 251062753 is a prime.

Together with 252111331, it forms a pair of twin primes.

It is a Chen prime.

It is a junction number, because it is equal to n+sod(n) for n = 252111298 and 252111307.

It is not a weakly prime, because it can be changed into another prime (252110329) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 126055664 + 126055665.

It is an arithmetic number, because the mean of its divisors is an integer number (126055665).

Almost surely, 2252111329 is an apocalyptic number.

It is an amenable number.

252111329 is a deficient number, since it is larger than the sum of its proper divisors (1).

252111329 is an equidigital number, since it uses as much as digits as its factorization.

252111329 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 1080, while the sum is 26.

The square root of 252111329 is about 15878.0140130937. The cubic root of 252111329 is about 631.7289611506.

The spelling of 252111329 in words is "two hundred fifty-two million, one hundred eleven thousand, three hundred twenty-nine".