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252132113 is a prime number
BaseRepresentation
bin11110000011100…
…11101100010001
3122120102122020102
433001303230101
51004021211423
641004022145
76151042022
oct1701635421
9576378212
10252132113
1111a35a652
1270531955
134030accc
14256b2c49
1517205c28
hexf073b11

252132113 has 2 divisors, whose sum is σ = 252132114. Its totient is φ = 252132112.

The previous prime is 252132059. The next prime is 252132169. The reversal of 252132113 is 311231252.

252132113 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 235223569 + 16908544 = 15337^2 + 4112^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-252132113 is a prime.

It is a Sophie Germain prime.

It is a Chen prime.

It is a Curzon number.

It is not a weakly prime, because it can be changed into another prime (252132173) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 126066056 + 126066057.

It is an arithmetic number, because the mean of its divisors is an integer number (126066057).

Almost surely, 2252132113 is an apocalyptic number.

It is an amenable number.

252132113 is a deficient number, since it is larger than the sum of its proper divisors (1).

252132113 is an equidigital number, since it uses as much as digits as its factorization.

252132113 is an evil number, because the sum of its binary digits is even.

The product of its digits is 360, while the sum is 20.

The square root of 252132113 is about 15878.6684895176. The cubic root of 252132113 is about 631.7463205370.

Adding to 252132113 its reverse (311231252), we get a palindrome (563363365).

The spelling of 252132113 in words is "two hundred fifty-two million, one hundred thirty-two thousand, one hundred thirteen".