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252524473093 is a prime number
BaseRepresentation
bin1110101100101110100…
…0011010101100000101
3220010210212100101011201
43223023220122230011
513114132231114333
6312001431502501
724146535414424
oct3531350325405
9803725311151
10252524473093
1198105533252
1240b35b27a31
131aa750a9759
14c317bd32bb
15687e77b17d
hex3acba1ab05

252524473093 has 2 divisors, whose sum is σ = 252524473094. Its totient is φ = 252524473092.

The previous prime is 252524473081. The next prime is 252524473111. The reversal of 252524473093 is 390374425252.

252524473093 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., 170773083009 + 81751390084 = 413247^2 + 285922^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-252524473093 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (252524473013) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 126262236546 + 126262236547.

It is an arithmetic number, because the mean of its divisors is an integer number (126262236547).

Almost surely, 2252524473093 is an apocalyptic number.

It is an amenable number.

252524473093 is a deficient number, since it is larger than the sum of its proper divisors (1).

252524473093 is an equidigital number, since it uses as much as digits as its factorization.

252524473093 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1814400, while the sum is 46.

The spelling of 252524473093 in words is "two hundred fifty-two billion, five hundred twenty-four million, four hundred seventy-three thousand, ninety-three".