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265075671025 = 52114232372
BaseRepresentation
bin1111011011011110111…
…1011011111111110001
3221100012120122021221101
43312313233123333301
513320333332433100
6321435111324401
725102552012264
oct3666757337761
9840176567841
10265075671025
11a2466340000
1243459380701
131bcc54b0aa9
14cb88ad2cdb
156d665c986a
hex3db7bdbff1

265075671025 has 135 divisors (see below), whose sum is σ = 388455837105. Its totient is φ = 179416670400.

The previous prime is 265075671023. The next prime is 265075671053. The reversal of 265075671025 is 520176570562.

The square root of 265075671025 is 514855.

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 25163794161 + 239911876864 = 158631^2 + 489808^2 .

It is not a de Polignac number, because 265075671025 - 21 = 265075671023 is a prime.

It is a super-2 number, since 2×2650756710252 (a number of 24 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (265075671023) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 7164207307 + ... + 7164207343.

Almost surely, 2265075671025 is an apocalyptic number.

265075671025 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

265075671025 is the 514855-th square number.

265075671025 is the 257428-th centered octagonal number.

It is an amenable number.

265075671025 is a deficient number, since it is larger than the sum of its proper divisors (123380166080).

265075671025 is an frugal number, since it uses more digits than its factorization.

265075671025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 174 (or 76 counting only the distinct ones).

The product of its (nonzero) digits is 882000, while the sum is 46.

The spelling of 265075671025 in words is "two hundred sixty-five billion, seventy-five million, six hundred seventy-one thousand, twenty-five".

Divisors: 1 5 11 23 25 37 55 115 121 185 253 275 407 529 575 605 851 925 1265 1331 1369 2035 2645 2783 3025 4255 4477 5819 6325 6655 6845 9361 10175 13225 13915 14641 15059 19573 21275 22385 29095 30613 31487 33275 34225 46805 49247 64009 69575 73205 75295 97865 102971 111925 145475 153065 157435 165649 215303 234025 246235 320045 336743 346357 366025 376475 489325 514855 541717 704099 724201 765325 787175 828245 1076515 1132681 1231175 1600225 1683715 1731785 1822139 2368333 2574275 2708585 3520495 3621005 3809927 4141225 5382575 5663405 7745089 7966211 8418575 8658925 9110695 11841665 12459491 13542925 17602475 18105025 19049635 20043529 26051663 28317025 38725445 39831055 41909197 45553475 59208325 62297455 87628321 95248175 100217645 130258315 193627225 199155275 209545985 286568293 311487275 438141605 461001167 501088225 651291575 963911531 1047729925 1432841465 2190708025 2305005835 4819557655 7164207325 10603026841 11525029175 24097788275 53015134205 265075671025