Search a number
-
+
65556541 is a prime number
BaseRepresentation
bin1111101000010…
…1000000111101
311120100121200001
43322011000331
5113240302131
610301034301
71424135641
oct372050075
9146317601
1065556541
1134006666
1219b55991
131077416b
1489c6c21
155b4e261
hex3e8503d

65556541 has 2 divisors, whose sum is σ = 65556542. Its totient is φ = 65556540.

The previous prime is 65556529. The next prime is 65556583. The reversal of 65556541 is 14565556.

65556541 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., 52925625 + 12630916 = 7275^2 + 3554^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-65556541 is a prime.

It is a super-3 number, since 3×655565413 (a number of 24 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 65556541.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (65556521) 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, 32778270 + 32778271.

It is an arithmetic number, because the mean of its divisors is an integer number (32778271).

Almost surely, 265556541 is an apocalyptic number.

It is an amenable number.

65556541 is a deficient number, since it is larger than the sum of its proper divisors (1).

65556541 is an equidigital number, since it uses as much as digits as its factorization.

65556541 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 90000, while the sum is 37.

The square root of 65556541 is about 8096.6993892573. The cubic root of 65556541 is about 403.2168540244.

The spelling of 65556541 in words is "sixty-five million, five hundred fifty-six thousand, five hundred forty-one".