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252525552529 is a prime number
BaseRepresentation
bin1110101100101110110…
…0100010001110010001
3220010210221101012212211
43223023230202032101
513114133020140104
6312001510552121
724146550531445
oct3531354421621
9803727335784
10252525552529
1198106100248
1240b36368641
131aa75396b83
14c317dd4825
15687e8e0e04
hex3acbb22391

252525552529 has 2 divisors, whose sum is σ = 252525552530. Its totient is φ = 252525552528.

The previous prime is 252525552473. The next prime is 252525552541. The reversal of 252525552529 is 925255525252.

252525552529 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 215251458304 + 37274094225 = 463952^2 + 193065^2 .

It is a cyclic number.

It is not a de Polignac number, because 252525552529 - 217 = 252525421457 is a prime.

It is not a weakly prime, because it can be changed into another prime (252525552589) 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, 126262776264 + 126262776265.

It is an arithmetic number, because the mean of its divisors is an integer number (126262776265).

Almost surely, 2252525552529 is an apocalyptic number.

It is an amenable number.

252525552529 is a deficient number, since it is larger than the sum of its proper divisors (1).

252525552529 is an equidigital number, since it uses as much as digits as its factorization.

252525552529 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 4500000, while the sum is 49.

The spelling of 252525552529 in words is "two hundred fifty-two billion, five hundred twenty-five million, five hundred fifty-two thousand, five hundred twenty-nine".