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252808154321 is a prime number
BaseRepresentation
bin1110101101110010001…
…0100100110011010001
3220011112122010212122212
43223130202210303101
513120222341414241
6312045524041505
724156551566412
oct3533442446321
9804478125585
10252808154321
1198240681148
1240bb4b33295
131aabbab2878
14c343759809
156899614beb
hex3adc8a4cd1

252808154321 has 2 divisors, whose sum is σ = 252808154322. Its totient is φ = 252808154320.

The previous prime is 252808154293. The next prime is 252808154341. The reversal of 252808154321 is 123451808252.

252808154321 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., 234701491600 + 18106662721 = 484460^2 + 134561^2 .

It is a cyclic number.

It is not a de Polignac number, because 252808154321 - 26 = 252808154257 is a prime.

It is not a weakly prime, because it can be changed into another prime (252808154341) 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, 126404077160 + 126404077161.

It is an arithmetic number, because the mean of its divisors is an integer number (126404077161).

Almost surely, 2252808154321 is an apocalyptic number.

It is an amenable number.

252808154321 is a deficient number, since it is larger than the sum of its proper divisors (1).

252808154321 is an equidigital number, since it uses as much as digits as its factorization.

252808154321 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 153600, while the sum is 41.

The spelling of 252808154321 in words is "two hundred fifty-two billion, eight hundred eight million, one hundred fifty-four thousand, three hundred twenty-one".