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66265625 = 564241
BaseRepresentation
bin1111110011001…
…0001000011001
311121200122100102
43330302020121
5113431000000
610324145145
71433151146
oct374621031
9147618312
1066265625
1134450388
121a2381b5
1310961b3a
148b2d3cd
155c3e3d5
hex3f32219

66265625 has 14 divisors (see below), whose sum is σ = 82850502. Its totient is φ = 53000000.

The previous prime is 66265579. The next prime is 66265627. The reversal of 66265625 is 52656266.

66265625 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 7 ways, for example, as 60543961 + 5721664 = 7781^2 + 2392^2 .

It is not a de Polignac number, because 66265625 - 214 = 66249241 is a prime.

It is a super-2 number, since 2×662656252 = 8782266113281250, which contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (66265627) 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 in 13 ways as a sum of consecutive naturals, for example, 13505 + ... + 17745.

It is an arithmetic number, because the mean of its divisors is an integer number (5917893).

Almost surely, 266265625 is an apocalyptic number.

It is an amenable number.

66265625 is a deficient number, since it is larger than the sum of its proper divisors (16584877).

66265625 is an frugal number, since it uses more digits than its factorization.

66265625 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4271 (or 4246 counting only the distinct ones).

The product of its digits is 129600, while the sum is 38.

The square root of 66265625 is about 8140.3700775825. The cubic root of 66265625 is about 404.6654250467.

The spelling of 66265625 in words is "sixty-six million, two hundred sixty-five thousand, six hundred twenty-five".

Divisors: 1 5 25 125 625 3125 4241 15625 21205 106025 530125 2650625 13253125 66265625