| Base | Representation |
|---|---|
| bin | 100110111010011… |
| … | …1111101111110001 |
| 3 | 10100222222101010000 |
| 4 | 1031310333233301 |
| 5 | 10133232110400 |
| 6 | 333322300213 |
| 7 | 44233406661 |
| oct | 11564775761 |
| 9 | 3328871100 |
| 10 | 1305738225 |
| 11 | 610067500 |
| 12 | 305357669 |
| 13 | 17a696a8c |
| 14 | c55b61a1 |
| 15 | 79975600 |
| hex | 4dd3fbf1 |
1305738225 has 135 divisors (see below), whose sum is σ = 2695464849. Its totient is φ = 624412800.
The previous prime is 1305738191. The next prime is 1305738271. The reversal of 1305738225 is 5228375031.
It is a happy number.
The square root of 1305738225 is 36135.
It is a perfect power (a square), and thus also a powerful number.
1305738225 is a `hidden beast` number, since 1 + 3 + 0 + 573 + 82 + 2 + 5 = 666.
It can be written as a sum of positive squares in 4 ways, for example, as 7144929 + 1298593296 = 2673^2 + 36036^2 .
It is a tau number, because it is divible by the number of its divisors (135).
It is not a de Polignac number, because 1305738225 - 217 = 1305607153 is a prime.
It is a self number, because there is not a number n which added to its sum of digits gives 1305738225.
It is an unprimeable number.
It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 17886789 + ... + 17886861.
Almost surely, 21305738225 is an apocalyptic number.
1305738225 is a gapful number since it is divisible by the number (15) formed by its first and last digit.
1305738225 is the 36135-th square number.
1305738225 is the 18068-th centered octagonal number.
It is an amenable number.
1305738225 is an abundant number, since it is smaller than the sum of its proper divisors (1389726624).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
1305738225 is an equidigital number, since it uses as much as digits as its factorization.
1305738225 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 190 (or 92 counting only the distinct ones).
The product of its (nonzero) digits is 50400, while the sum is 36.
The cubic root of 1305738225 is about 1092.9963358710.
Multiplying 1305738225 by its sum of digits (36), we get a square (47006576100 = 2168102).
The spelling of 1305738225 in words is "one billion, three hundred five million, seven hundred thirty-eight thousand, two hundred twenty-five".
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