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252033121 is a prime number
BaseRepresentation
bin11110000010110…
…11100001100001
3122120020121110001
433001123201201
51004010024441
641001540001
76150150304
oct1701334141
9576217401
10252033121
1111a2a223a
12704a4601
13402a4c32
1425688b3b
15171d6731
hexf05b861

252033121 has 2 divisors, whose sum is σ = 252033122. Its totient is φ = 252033120.

The previous prime is 252033107. The next prime is 252033161. The reversal of 252033121 is 121330252.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 208947025 + 43086096 = 14455^2 + 6564^2 .

It is a cyclic number.

It is not a de Polignac number, because 252033121 - 29 = 252032609 is a prime.

It is not a weakly prime, because it can be changed into another prime (252033101) 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, 126016560 + 126016561.

It is an arithmetic number, because the mean of its divisors is an integer number (126016561).

Almost surely, 2252033121 is an apocalyptic number.

It is an amenable number.

252033121 is a deficient number, since it is larger than the sum of its proper divisors (1).

252033121 is an equidigital number, since it uses as much as digits as its factorization.

252033121 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 360, while the sum is 19.

The square root of 252033121 is about 15875.5510455543. The cubic root of 252033121 is about 631.6636310595.

Adding to 252033121 its reverse (121330252), we get a palindrome (373363373).

The spelling of 252033121 in words is "two hundred fifty-two million, thirty-three thousand, one hundred twenty-one".