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252678080209 is a prime number
BaseRepresentation
bin1110101101010011001…
…0011000011011010001
3220011012120101102112011
43223110302120123101
513114441042031314
6312025000102521
724153412146532
oct3532462303321
9804176342464
10252678080209
1198184209585
1240b79464a41
131aa9ab6c439
14c33037a689
15688cebe4c4
hex3ad4c986d1

252678080209 has 2 divisors, whose sum is σ = 252678080210. Its totient is φ = 252678080208.

The previous prime is 252678080183. The next prime is 252678080227. The reversal of 252678080209 is 902080876252.

It is a happy number.

252678080209 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., 214042246609 + 38635833600 = 462647^2 + 196560^2 .

It is a cyclic number.

It is not a de Polignac number, because 252678080209 - 29 = 252678079697 is a prime.

It is not a weakly prime, because it can be changed into another prime (252678080269) 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, 126339040104 + 126339040105.

It is an arithmetic number, because the mean of its divisors is an integer number (126339040105).

Almost surely, 2252678080209 is an apocalyptic number.

It is an amenable number.

252678080209 is a deficient number, since it is larger than the sum of its proper divisors (1).

252678080209 is an equidigital number, since it uses as much as digits as its factorization.

252678080209 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 967680, while the sum is 49.

The spelling of 252678080209 in words is "two hundred fifty-two billion, six hundred seventy-eight million, eighty thousand, two hundred nine".