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65415041 is a prime number
BaseRepresentation
bin1111100110001…
…0011110000001
311120002102120022
43321202132001
5113221240131
610254023225
71423006256
oct371423601
9146072508
1065415041
1133a1a31a
1219aa7b15
1310724933
14898b42d
155b2237b
hex3e62781

65415041 has 2 divisors, whose sum is σ = 65415042. Its totient is φ = 65415040.

The previous prime is 65415019. The next prime is 65415047. The reversal of 65415041 is 14051456.

65415041 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 50822641 + 14592400 = 7129^2 + 3820^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-65415041 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 65415041.

It is not a weakly prime, because it can be changed into another prime (65415047) 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, 32707520 + 32707521.

It is an arithmetic number, because the mean of its divisors is an integer number (32707521).

Almost surely, 265415041 is an apocalyptic number.

It is an amenable number.

65415041 is a deficient number, since it is larger than the sum of its proper divisors (1).

65415041 is an equidigital number, since it uses as much as digits as its factorization.

65415041 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2400, while the sum is 26.

The square root of 65415041 is about 8087.9565404371. The cubic root of 65415041 is about 402.9265382992.

Adding to 65415041 its reverse (14051456), we get a palindrome (79466497).

The spelling of 65415041 in words is "sixty-five million, four hundred fifteen thousand, forty-one".