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132577406309 is a prime number
BaseRepresentation
bin111101101111000111…
…0101010110101100101
3110200012112210001101202
41323132032222311211
54133004304000214
6140523305532245
712402251234315
oct1733616526545
9420175701352
10132577406309
1151253542697
122183baa4085
13c66ab6691a
1465b9909445
1536ae27e6de
hex1ede3aad65

132577406309 has 2 divisors, whose sum is σ = 132577406310. Its totient is φ = 132577406308.

The previous prime is 132577406267. The next prime is 132577406359. The reversal of 132577406309 is 903604775231.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 129736836100 + 2840570209 = 360190^2 + 53297^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-132577406309 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (132577406359) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 66288703154 + 66288703155.

It is an arithmetic number, because the mean of its divisors is an integer number (66288703155).

Almost surely, 2132577406309 is an apocalyptic number.

It is an amenable number.

132577406309 is a deficient number, since it is larger than the sum of its proper divisors (1).

132577406309 is an equidigital number, since it uses as much as digits as its factorization.

132577406309 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 952560, while the sum is 47.

The spelling of 132577406309 in words is "one hundred thirty-two billion, five hundred seventy-seven million, four hundred six thousand, three hundred nine".