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253868129 is a prime number
BaseRepresentation
bin11110010000110…
…11100001100001
3122200200211121022
433020123201201
51004442240004
641105135225
76201562214
oct1710334141
9580624538
10253868129
11120335979
127102a515
1340798238
1425a0577b
151744a2be
hexf21b861

253868129 has 2 divisors, whose sum is σ = 253868130. Its totient is φ = 253868128.

The previous prime is 253868107. The next prime is 253868149. The reversal of 253868129 is 921868352.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 127080529 + 126787600 = 11273^2 + 11260^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-253868129 is a prime.

It is a Chen prime.

It is a self number, because there is not a number n which added to its sum of digits gives 253868129.

It is not a weakly prime, because it can be changed into another prime (253868149) 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, 126934064 + 126934065.

It is an arithmetic number, because the mean of its divisors is an integer number (126934065).

Almost surely, 2253868129 is an apocalyptic number.

It is an amenable number.

253868129 is a deficient number, since it is larger than the sum of its proper divisors (1).

253868129 is an equidigital number, since it uses as much as digits as its factorization.

253868129 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 207360, while the sum is 44.

The square root of 253868129 is about 15933.2397521659. The cubic root of 253868129 is about 633.1929354223.

The spelling of 253868129 in words is "two hundred fifty-three million, eight hundred sixty-eight thousand, one hundred twenty-nine".