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10725709225 = 52721122692
BaseRepresentation
bin10011111110100110…
…10101010110101001
31000200111022111000211
421333103111112221
5133431240143400
64532145101121
7526536011200
oct117723252651
930614274024
1010725709225
114604424100
1220b40277a1
13101c15b80a
1473a6b0237
1542b95cdba
hex27f4d55a9

10725709225 has 81 divisors (see below), whose sum is σ = 17069083941. Its totient is φ = 6661300800.

The previous prime is 10725709219. The next prime is 10725709231. The reversal of 10725709225 is 52290752701.

The square root of 10725709225 is 103565.

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

It is an interprime number because it is at equal distance from previous prime (10725709219) and next prime (10725709231).

It can be written as a sum of positive squares in 4 ways, for example, as 4114067881 + 6611641344 = 64141^2 + 81312^2 .

It is not a de Polignac number, because 10725709225 - 213 = 10725701033 is a prime.

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, 39872391 + ... + 39872659.

Almost surely, 210725709225 is an apocalyptic number.

10725709225 is the 103565-th square number.

10725709225 is the 51783-rd centered octagonal number.

It is an amenable number.

10725709225 is a deficient number, since it is larger than the sum of its proper divisors (6343374716).

10725709225 is an equidigital number, since it uses as much as digits as its factorization.

10725709225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 584 (or 292 counting only the distinct ones).

The product of its (nonzero) digits is 88200, while the sum is 40.

The spelling of 10725709225 in words is "ten billion, seven hundred twenty-five million, seven hundred nine thousand, two hundred twenty-five".

Divisors: 1 5 7 11 25 35 49 55 77 121 175 245 269 275 385 539 605 847 1225 1345 1883 1925 2695 2959 3025 4235 5929 6725 9415 13181 13475 14795 20713 21175 29645 32549 47075 65905 72361 73975 103565 144991 148225 162745 227843 329525 361805 506527 517825 724955 795971 813725 1139215 1594901 1809025 2532635 3545689 3624775 3979855 5571797 5696075 7974505 8755681 12663175 17728445 19899275 27858985 39002579 39872525 43778405 61289767 88642225 139294925 195012895 218892025 306448835 429028369 975064475 1532244175 2145141845 10725709225