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59090317225 = 526127972
BaseRepresentation
bin110111000010000011…
…101010111110101001
312122112002212010120121
4313002003222332221
51432004110122400
643051250323241
74161212260222
oct670203527651
9178462763517
1059090317225
1123072a41a15
12b551289521
135759153464
142c07b36249
15180c96221a
hexdc20eafa9

59090317225 has 27 divisors (see below), whose sum is σ = 74586448911. Its totient is φ = 46438958400.

The previous prime is 59090317217. The next prime is 59090317249. The reversal of 59090317225 is 52271309095.

The square root of 59090317225 is 243085.

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

It can be written as a sum of positive squares in 13 ways, for example, as 59055318169 + 34999056 = 243013^2 + 5916^2 .

It is not a de Polignac number, because 59090317225 - 23 = 59090317217 is a prime.

It is a super-2 number, since 2×590903172252 (a number of 22 digits) contains 22 as substring.

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 74140527 + ... + 74141323.

Almost surely, 259090317225 is an apocalyptic number.

59090317225 is the 243085-th square number.

59090317225 is the 121543-rd centered octagonal number.

It is an amenable number.

59090317225 is a deficient number, since it is larger than the sum of its proper divisors (15496131686).

59090317225 is an frugal number, since it uses more digits than its factorization.

59090317225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1726 (or 863 counting only the distinct ones).

The product of its (nonzero) digits is 170100, while the sum is 43.

The spelling of 59090317225 in words is "fifty-nine billion, ninety million, three hundred seventeen thousand, two hundred twenty-five".

Divisors: 1 5 25 61 305 797 1525 3721 3985 18605 19925 48617 93025 243085 635209 1215425 2965637 3176045 14828185 15880225 38747749 74140925 193738745 968693725 2363612689 11818063445 59090317225