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1071090454225 = 521123126072
BaseRepresentation
bin11111001011000011111…
…01110100111011010001
310210101200010122200100011
433211201331310323101
5120022043124013400
62140015133354521
7140245422433351
oct17454175647321
93711603580304
101071090454225
11383279702400
12153702038a41
137a007600c7c
1439babbd4b61
151ccdc9748ba
hexf961f74ed1

1071090454225 has 81 divisors (see below), whose sum is σ = 1510970656923. Its totient is φ = 752604732000.

The previous prime is 1071090454223. The next prime is 1071090454237. The reversal of 1071090454225 is 5224540901701.

The square root of 1071090454225 is 1034935.

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

It can be written as a sum of positive squares in only one way, i.e., 385592563521 + 685497890704 = 620961^2 + 827948^2 .

It is not a de Polignac number, because 1071090454225 - 21 = 1071090454223 is a prime.

It is a super-2 number, since 2×10710904542252 (a number of 25 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1071090454223) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 1764563872 + ... + 1764564478.

Almost surely, 21071090454225 is an apocalyptic number.

1071090454225 is the 1034935-th square number.

1071090454225 is the 517468-th centered octagonal number.

It is an amenable number.

1071090454225 is a deficient number, since it is larger than the sum of its proper divisors (439880202698).

1071090454225 is an frugal number, since it uses more digits than its factorization.

1071090454225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1308 (or 654 counting only the distinct ones).

The product of its (nonzero) digits is 100800, while the sum is 40.

The spelling of 1071090454225 in words is "one trillion, seventy-one billion, ninety million, four hundred fifty-four thousand, two hundred twenty-five".

Divisors: 1 5 11 25 31 55 121 155 275 341 605 607 775 961 1705 3025 3035 3751 4805 6677 8525 10571 15175 18755 18817 24025 33385 52855 73447 93775 94085 116281 166925 206987 264275 367235 368449 470425 581405 583327 1034935 1836175 1842245 2276857 2907025 2916635 4052939 5174675 6416597 9211225 11384285 11421919 14583175 20264695 32082985 44582329 56921425 57109595 70582567 101323475 125641109 160414925 222911645 285547975 352912835 354079489 628205545 1114558225 1382052199 1764564175 1770397445 3141027725 3894874379 6910260995 8851987225 19474371895 34551304975 42843618169 97371859475 214218090845 1071090454225