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12777032053 is a prime number
BaseRepresentation
bin10111110011001001…
…00000100101110101
31012222110020110221101
423321210200211311
5202131410011203
65511504050101
7631424660212
oct137144404565
935873213841
1012777032053
115467335325
122587003931
1312881353c6
14892cc8b09
154ebaac41d
hex2f9920975

12777032053 has 2 divisors, whose sum is σ = 12777032054. Its totient is φ = 12777032052.

The previous prime is 12777032039. The next prime is 12777032069. The reversal of 12777032053 is 35023077721.

12777032053 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., 10490470929 + 2286561124 = 102423^2 + 47818^2 .

It is a cyclic number.

It is not a de Polignac number, because 12777032053 - 233 = 4187097461 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (12777032003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6388516026 + 6388516027.

It is an arithmetic number, because the mean of its divisors is an integer number (6388516027).

Almost surely, 212777032053 is an apocalyptic number.

It is an amenable number.

12777032053 is a deficient number, since it is larger than the sum of its proper divisors (1).

12777032053 is an equidigital number, since it uses as much as digits as its factorization.

12777032053 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 61740, while the sum is 37.

The spelling of 12777032053 in words is "twelve billion, seven hundred seventy-seven million, thirty-two thousand, fifty-three".