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1328456813 is a prime number
BaseRepresentation
bin100111100101110…
…1010010001101101
310102120201121011012
41033023222101231
510210041104223
6335453235005
744630460635
oct11713522155
93376647135
101328456813
116219742a2
12310a92a65
131822bc728
14c860b6c5
157b961c78
hex4f2ea46d

1328456813 has 2 divisors, whose sum is σ = 1328456814. Its totient is φ = 1328456812.

The previous prime is 1328456791. The next prime is 1328456827. The reversal of 1328456813 is 3186548231.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1226890729 + 101566084 = 35027^2 + 10078^2 .

It is a cyclic number.

It is not a de Polignac number, because 1328456813 - 212 = 1328452717 is a prime.

It is a super-3 number, since 3×13284568133 (a number of 28 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (1328456863) 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, 664228406 + 664228407.

It is an arithmetic number, because the mean of its divisors is an integer number (664228407).

Almost surely, 21328456813 is an apocalyptic number.

It is an amenable number.

1328456813 is a deficient number, since it is larger than the sum of its proper divisors (1).

1328456813 is an equidigital number, since it uses as much as digits as its factorization.

1328456813 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 138240, while the sum is 41.

The square root of 1328456813 is about 36448.0014952809. The cubic root of 1328456813 is about 1099.2989508247.

The spelling of 1328456813 in words is "one billion, three hundred twenty-eight million, four hundred fifty-six thousand, eight hundred thirteen".