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253985129 is a prime number
BaseRepresentation
bin11110010001110…
…00000101101001
3122200220210002122
433020320011221
51010010011004
641111441025
76202560266
oct1710700551
9580823078
10253985129
11120405872
1271086175
1340809578
1425a3626d
151746ecbe
hexf238169

253985129 has 2 divisors, whose sum is σ = 253985130. Its totient is φ = 253985128.

The previous prime is 253985111. The next prime is 253985153. The reversal of 253985129 is 921589352.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 179560000 + 74425129 = 13400^2 + 8627^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-253985129 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 253985129.

It is not a weakly prime, because it can be changed into another prime (253985429) 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, 126992564 + 126992565.

It is an arithmetic number, because the mean of its divisors is an integer number (126992565).

Almost surely, 2253985129 is an apocalyptic number.

It is an amenable number.

253985129 is a deficient number, since it is larger than the sum of its proper divisors (1).

253985129 is an equidigital number, since it uses as much as digits as its factorization.

253985129 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 194400, while the sum is 44.

The square root of 253985129 is about 15936.9108989164. The cubic root of 253985129 is about 633.2901935220.

The spelling of 253985129 in words is "two hundred fifty-three million, nine hundred eighty-five thousand, one hundred twenty-nine".