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65541361 is a prime number
BaseRepresentation
bin1111101000000…
…1010011110001
311120022211211211
43322001103301
5113234310421
610300440121
71424043454
oct372012361
9146284754
1065541361
1133aa6216
1219b49041
131076a292
1489c149b
155b499e1
hex3e814f1

65541361 has 2 divisors, whose sum is σ = 65541362. Its totient is φ = 65541360.

The previous prime is 65541349. The next prime is 65541379. The reversal of 65541361 is 16314556.

65541361 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., 48566961 + 16974400 = 6969^2 + 4120^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-65541361 is a prime.

It is not a weakly prime, because it can be changed into another prime (65541461) 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, 32770680 + 32770681.

It is an arithmetic number, because the mean of its divisors is an integer number (32770681).

Almost surely, 265541361 is an apocalyptic number.

It is an amenable number.

65541361 is a deficient number, since it is larger than the sum of its proper divisors (1).

65541361 is an equidigital number, since it uses as much as digits as its factorization.

65541361 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 10800, while the sum is 31.

The square root of 65541361 is about 8095.7619159657. The cubic root of 65541361 is about 403.1857292160.

The spelling of 65541361 in words is "sixty-five million, five hundred forty-one thousand, three hundred sixty-one".