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252892912673 is a prime number
BaseRepresentation
bin1110101110000110010…
…1111001110000100001
3220011202112122001021002
43223201211321300201
513120411041201143
6312102152441345
724161631201332
oct3534145716041
9804675561232
10252892912673
1198284502375
12410193a9255
131ab0351aa3b
14c350b00289
1568a1ca85b8
hex3ae1979c21

252892912673 has 2 divisors, whose sum is σ = 252892912674. Its totient is φ = 252892912672.

The previous prime is 252892912609. The next prime is 252892912697. The reversal of 252892912673 is 376219298252.

It is a happy number.

252892912673 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., 237472985344 + 15419927329 = 487312^2 + 124177^2 .

It is a cyclic number.

It is not a de Polignac number, because 252892912673 - 26 = 252892912609 is a prime.

It is not a weakly prime, because it can be changed into another prime (252892912603) 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, 126446456336 + 126446456337.

It is an arithmetic number, because the mean of its divisors is an integer number (126446456337).

Almost surely, 2252892912673 is an apocalyptic number.

It is an amenable number.

252892912673 is a deficient number, since it is larger than the sum of its proper divisors (1).

252892912673 is an equidigital number, since it uses as much as digits as its factorization.

252892912673 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 6531840, while the sum is 56.

The spelling of 252892912673 in words is "two hundred fifty-two billion, eight hundred ninety-two million, nine hundred twelve thousand, six hundred seventy-three".