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252033097 is a prime number
BaseRepresentation
bin11110000010110…
…11100001001001
3122120020121102011
433001123201021
51004010024342
641001535521
76150150241
oct1701334111
9576217364
10252033097
1111a2a2218
12704a45a1
13402a4c14
1425688b21
15171d6717
hexf05b849

252033097 has 2 divisors, whose sum is σ = 252033098. Its totient is φ = 252033096.

The previous prime is 252033091. The next prime is 252033101. The reversal of 252033097 is 790330252.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 251825161 + 207936 = 15869^2 + 456^2 .

It is a cyclic number.

It is not a de Polignac number, because 252033097 - 211 = 252031049 is a prime.

It is a super-2 number, since 2×2520330972 = 127041363966822818, which contains 22 as substring.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (252033091) 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, 126016548 + 126016549.

It is an arithmetic number, because the mean of its divisors is an integer number (126016549).

Almost surely, 2252033097 is an apocalyptic number.

It is an amenable number.

252033097 is a deficient number, since it is larger than the sum of its proper divisors (1).

252033097 is an equidigital number, since it uses as much as digits as its factorization.

252033097 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 11340, while the sum is 31.

The square root of 252033097 is about 15875.5502896750. The cubic root of 252033097 is about 631.6636110093.

The spelling of 252033097 in words is "two hundred fifty-two million, thirty-three thousand, ninety-seven".