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253412124025129 is a prime number
BaseRepresentation
bin111001100111101000011011…
…101000100110000100101001
31020020020221222122010020222221
4321213220123220212010221
5231203401012222301004
62254543531142314041
7104243264445515056
oct7147503350460451
91206227878106887
10253412124025129
1173821529631a93
1224508b73728921
13ab528788ba944
1446812d858c02d
151e46c6e40a354
hexe67a1ba26129

253412124025129 has 2 divisors, whose sum is σ = 253412124025130. Its totient is φ = 253412124025128.

The previous prime is 253412124025097. The next prime is 253412124025189. The reversal of 253412124025129 is 921520421214352.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 253393803049104 + 18320976025 = 15918348^2 + 135355^2 .

It is a cyclic number.

It is not a de Polignac number, because 253412124025129 - 25 = 253412124025097 is a prime.

It is not a weakly prime, because it can be changed into another prime (253412124025189) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 126706062012564 + 126706062012565.

It is an arithmetic number, because the mean of its divisors is an integer number (126706062012565).

Almost surely, 2253412124025129 is an apocalyptic number.

It is an amenable number.

253412124025129 is a deficient number, since it is larger than the sum of its proper divisors (1).

253412124025129 is an equidigital number, since it uses as much as digits as its factorization.

253412124025129 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 345600, while the sum is 43.

The spelling of 253412124025129 in words is "two hundred fifty-three trillion, four hundred twelve billion, one hundred twenty-four million, twenty-five thousand, one hundred twenty-nine".