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52709272225 = 52172372732
BaseRepresentation
bin110001000101101101…
…111010101010100001
312001001101210110102121
4301011231322222201
51330422033202400
640114142344241
73544120264411
oct610555725241
9161041713377
1052709272225
1120399012405
12a27028b081
134c8015199c
1427a0498641
15158765c21a
hexc45b7aaa1

52709272225 has 81 divisors (see below), whose sum is σ = 72348433857. Its totient is φ = 38085396480.

The previous prime is 52709272207. The next prime is 52709272241. The reversal of 52709272225 is 52227290725.

The square root of 52709272225 is 229585.

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

52709272225 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 40 ways, for example, as 32049234529 + 20660037696 = 179023^2 + 143736^2 .

It is not a de Polignac number, because 52709272225 - 219 = 52708747937 is a prime.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 722044789 + ... + 722044861.

Almost surely, 252709272225 is an apocalyptic number.

52709272225 is the 229585-th square number.

52709272225 is the 114793-rd centered octagonal number.

It is an amenable number.

52709272225 is a deficient number, since it is larger than the sum of its proper divisors (19639161632).

52709272225 is an equidigital number, since it uses as much as digits as its factorization.

52709272225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 264 (or 132 counting only the distinct ones).

The product of its (nonzero) digits is 352800, while the sum is 43.

The spelling of 52709272225 in words is "fifty-two billion, seven hundred nine million, two hundred seventy-two thousand, two hundred twenty-five".

Divisors: 1 5 17 25 37 73 85 185 289 365 425 629 925 1241 1369 1445 1825 2701 3145 5329 6205 6845 7225 10693 13505 15725 21097 23273 26645 31025 34225 45917 53465 67525 90593 99937 105485 116365 133225 197173 229585 267325 395641 452965 499685 527425 581825 780589 985865 1147925 1540081 1698929 1978205 2264825 2498425 3351941 3902945 4929325 7295401 7700405 8494645 9891025 16759705 19514725 28881793 36477005 38502025 42473225 56982997 83798525 124021817 144408965 182385025 284914985 620109085 722044825 1424574925 2108370889 3100545425 10541854445 52709272225