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5250903505225 = 52744721992
BaseRepresentation
bin100110001101001001000…
…1111001111100101001001
3200120222111111022210200221
41030122102033033211021
51142012322244131400
615100122021230041
71051236166240000
oct114322217174511
920528444283627
105250903505225
111744994157644
127097b0b62321
132c12093a6121
14142206187c37
15918c4a0ac1a
hex4c6923cf949

5250903505225 has 135 divisors (see below), whose sum is σ = 7800103144167. Its totient is φ = 3506302023840.

The previous prime is 5250903505217. The next prime is 5250903505291. The reversal of 5250903505225 is 5225053090525.

The square root of 5250903505225 is 2291485.

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., 1890325261881 + 3360578243344 = 1374891^2 + 1833188^2 .

It is not a de Polignac number, because 5250903505225 - 23 = 5250903505217 is a prime.

It is a super-3 number, since 3×52509035052253 (a number of 39 digits) contains 333 as substring.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 26386449676 + ... + 26386449874.

Almost surely, 25250903505225 is an apocalyptic number.

5250903505225 is the 2291485-th square number.

5250903505225 is the 1145743-rd centered octagonal number.

It is an amenable number.

5250903505225 is a deficient number, since it is larger than the sum of its proper divisors (2549199638942).

5250903505225 is an frugal number, since it uses more digits than its factorization.

5250903505225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 530 (or 258 counting only the distinct ones).

The product of its (nonzero) digits is 675000, while the sum is 43.

The spelling of 5250903505225 in words is "five trillion, two hundred fifty billion, nine hundred three million, five hundred five thousand, two hundred twenty-five".

Divisors: 1 5 7 25 35 47 49 175 199 235 245 329 343 995 1175 1225 1393 1645 1715 2209 2303 2401 4975 6965 8225 8575 9353 9751 11045 11515 12005 15463 16121 34825 39601 46765 48755 55225 57575 60025 65471 68257 77315 80605 108241 112847 198005 233825 243775 277207 327355 341285 386575 403025 439591 458297 477799 541205 564235 757687 990025 1386035 1636775 1706425 1861247 1940449 2197955 2291485 2388995 2706025 2821175 3077137 3208079 3788435 5303809 6930175 9306235 9702245 10989775 11457425 11944975 13028729 13583143 15385685 16040395 18942175 21539959 22456553 26519045 46531175 48511225 65143645 67915715 76928425 80201975 87478609 91201103 95082001 107699795 112282765 132595225 150779713 325718225 339578575 437393045 456005515 475410005 538498975 561413825 612350263 638407721 753898565 1055457991 2186965225 2280027575 2377050025 3061751315 3192038605 3769492825 4286451841 4468854047 5277289955 15308756575 15960193025 21432259205 22344270235 26386449775 30005162887 107161296025 111721351175 150025814435 210036140209 750129072175 1050180701045 5250903505225