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1077816913 is a prime number
BaseRepresentation
bin100000000111110…
…0010111001010001
32210010002202211221
41000033202321101
54201410120123
6254541205041
735465202235
oct10017427121
92703082757
101077816913
11503443888
12260b60781
131423b49b4
14a32065c5
156495325d
hex403e2e51

1077816913 has 2 divisors, whose sum is σ = 1077816914. Its totient is φ = 1077816912.

The previous prime is 1077816911. The next prime is 1077816917. The reversal of 1077816913 is 3196187701.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 764633104 + 313183809 = 27652^2 + 17697^2 .

It is a cyclic number.

It is not a de Polignac number, because 1077816913 - 21 = 1077816911 is a prime.

Together with 1077816911, it forms a pair of twin primes.

It is a self number, because there is not a number n which added to its sum of digits gives 1077816913.

It is not a weakly prime, because it can be changed into another prime (1077816911) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 538908456 + 538908457.

It is an arithmetic number, because the mean of its divisors is an integer number (538908457).

Almost surely, 21077816913 is an apocalyptic number.

It is an amenable number.

1077816913 is a deficient number, since it is larger than the sum of its proper divisors (1).

1077816913 is an equidigital number, since it uses as much as digits as its factorization.

1077816913 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 63504, while the sum is 43.

The square root of 1077816913 is about 32830.1220375435. The cubic root of 1077816913 is about 1025.2938005297.

The spelling of 1077816913 in words is "one billion, seventy-seven million, eight hundred sixteen thousand, nine hundred thirteen".