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841283356225 = 5213210321372
BaseRepresentation
bin11000011111000000110…
…01010100011001000001
32222102111111001112021011
430033200121110121001
5102240422014344400
61442251422000521
7114531533353114
oct14174031243101
92872444045234
10841283356225
112a4871582314
12117068116141
1361442b8a300
142ca0b16057b
1516d3c7cc8ba
hexc3e0654641

841283356225 has 81 divisors (see below), whose sum is σ = 1149070070043. Its totient is φ = 610733111040.

The previous prime is 841283356183. The next prime is 841283356229. The reversal of 841283356225 is 522653382148.

The square root of 841283356225 is 917215.

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 747323941441 + 93959414784 = 864479^2 + 306528^2 .

It is not a de Polignac number, because 841283356225 - 219 = 841282831937 is a prime.

It is a super-2 number, since 2×8412833562252 (a number of 25 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (841283356229) 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, 6140754357 + ... + 6140754493.

Almost surely, 2841283356225 is an apocalyptic number.

841283356225 is the 917215-th square number.

841283356225 is the 458608-th centered octagonal number.

It is an amenable number.

841283356225 is a deficient number, since it is larger than the sum of its proper divisors (307786713818).

841283356225 is a wasteful number, since it uses less digits than its factorization.

841283356225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 516 (or 258 counting only the distinct ones).

The product of its digits is 2764800, while the sum is 49.

Multiplying 841283356225 by its sum of digits (49), we get a square (41222884455025 = 64205052).

The spelling of 841283356225 in words is "eight hundred forty-one billion, two hundred eighty-three million, three hundred fifty-six thousand, two hundred twenty-five".

Divisors: 1 5 13 25 65 103 137 169 325 515 685 845 1339 1781 2575 3425 4225 6695 8905 10609 14111 17407 18769 23153 33475 44525 53045 70555 87035 93845 115765 137917 183443 243997 265225 352775 435175 469225 578825 689585 917215 1219985 1453433 1792921 1933207 2384759 3171961 3447925 4586075 6099925 7267165 8964605 9666035 11923795 15859805 18894629 25131691 36335825 44823025 48330175 59618975 79299025 94473145 125658455 199120321 245630177 326711983 472365725 628292275 995601605 1228150885 1633559915 2588564173 4978008025 6140754425 8167799575 12942820865 33651334249 64714104325 168256671245 841283356225