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6509378401 is a prime number
BaseRepresentation
bin1100000111111110…
…10011101101100001
3121210122112200110221
412003333103231201
5101312400102101
62553530323041
7320210542411
oct60377235541
917718480427
106509378401
112840413379
121317b89481
137c97857c6
1445a726641
15281704aa1
hex183fd3b61

6509378401 has 2 divisors, whose sum is σ = 6509378402. Its totient is φ = 6509378400.

The previous prime is 6509378383. The next prime is 6509378417. The reversal of 6509378401 is 1048739056.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 4086277776 + 2423100625 = 63924^2 + 49225^2 .

It is a cyclic number.

It is not a de Polignac number, because 6509378401 - 211 = 6509376353 is a prime.

It is not a weakly prime, because it can be changed into another prime (6509378441) 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, 3254689200 + 3254689201.

It is an arithmetic number, because the mean of its divisors is an integer number (3254689201).

Almost surely, 26509378401 is an apocalyptic number.

It is an amenable number.

6509378401 is a deficient number, since it is larger than the sum of its proper divisors (1).

6509378401 is an equidigital number, since it uses as much as digits as its factorization.

6509378401 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 181440, while the sum is 43.

The square root of 6509378401 is about 80680.7188924343. The cubic root of 6509378401 is about 1867.1527108297.

The spelling of 6509378401 in words is "six billion, five hundred nine million, three hundred seventy-eight thousand, four hundred one".