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6518140225 = 526722412
BaseRepresentation
bin1100001001000001…
…01110110101000001
3121211021000211102221
412010200232311001
5101322120441400
62554442211041
7320345164162
oct60440566501
917737024387
106518140225
112845358253
12131aab3a81
137cb53290c
1445b967769
15282385c1a
hex18482ed41

6518140225 has 27 divisors (see below), whose sum is σ = 8239115241. Its totient is φ = 5115369600.

The previous prime is 6518140219. The next prime is 6518140229. The reversal of 6518140225 is 5220418156.

It is a happy number.

The square root of 6518140225 is 80735.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 97002801 + 6421137424 = 9849^2 + 80132^2 .

It is not a de Polignac number, because 6518140225 - 23 = 6518140217 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (6518140229) 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 26 ways as a sum of consecutive naturals, for example, 27046105 + ... + 27046345.

Almost surely, 26518140225 is an apocalyptic number.

6518140225 is the 80735-th square number.

6518140225 is the 40368-th centered octagonal number.

It is an amenable number.

6518140225 is a deficient number, since it is larger than the sum of its proper divisors (1720975016).

6518140225 is an frugal number, since it uses more digits than its factorization.

6518140225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 626 (or 313 counting only the distinct ones).

The product of its (nonzero) digits is 19200, while the sum is 34.

The cubic root of 6518140225 is about 1867.9900836020.

The spelling of 6518140225 in words is "six billion, five hundred eighteen million, one hundred forty thousand, two hundred twenty-five".

Divisors: 1 5 25 67 241 335 1205 1675 4489 6025 16147 22445 58081 80735 112225 290405 403675 1081849 1452025 3891427 5409245 19457135 27046225 97285675 260725609 1303628045 6518140225