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5151379212225 = 345231216272
BaseRepresentation
bin100101011110110011000…
…1000001100011111000001
3200020110121110210212210000
41022331212020030133001
51133400011034242400
614542302210230213
71041113656556241
oct112754610143701
920213543725700
105151379212225
1117067622a6224
126b2456585369
132b4a082c431c
1413b484397b21
158deec43b600
hex4af6620c7c1

5151379212225 has 135 divisors (see below), whose sum is σ = 9865939094451. Its totient is φ = 2657142208800.

The previous prime is 5151379212169. The next prime is 5151379212299. The reversal of 5151379212225 is 5222129731515.

The square root of 5151379212225 is 2269665.

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

5151379212225 is a `hidden beast` number, since 5 + 1 + 51 + 379 + 2 + 1 + 2 + 225 = 666.

It can be written as a sum of positive squares in only one way, i.e., 1854496516401 + 3296882695824 = 1361799^2 + 1815732^2 .

It is a tau number, because it is divible by the number of its divisors (135).

It is a de Polignac number, because none of the positive numbers 2k-5151379212225 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

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, 3166181862 + ... + 3166183488.

Almost surely, 25151379212225 is an apocalyptic number.

5151379212225 is the 2269665-th square number.

5151379212225 is the 1134833-rd centered octagonal number.

It is an amenable number.

5151379212225 is a deficient number, since it is larger than the sum of its proper divisors (4714559882226).

5151379212225 is an frugal number, since it uses more digits than its factorization.

5151379212225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3338 (or 1666 counting only the distinct ones).

The product of its digits is 378000, while the sum is 45.

The spelling of 5151379212225 in words is "five trillion, one hundred fifty-one billion, three hundred seventy-nine million, two hundred twelve thousand, two hundred twenty-five".

Divisors: 1 3 5 9 15 25 27 31 45 75 81 93 135 155 225 279 405 465 675 775 837 961 1395 1627 2025 2325 2511 2883 4185 4805 4881 6975 8135 8649 12555 14415 14643 20925 24025 24405 25947 40675 43245 43929 50437 62775 72075 73215 77841 122025 129735 131787 151311 216225 219645 252185 366075 389205 453933 648675 658935 756555 1098225 1260925 1361799 1563547 1946025 2269665 2647129 3294675 3782775 4085397 4690641 6808995 7817735 7941387 11348325 13235645 14071923 20426985 23453205 23824161 34044975 39088675 39706935 42215769 66178225 70359615 71472483 82060999 102134925 117266025 119120805 126647307 198534675 211078845 214417449 246182997 351798075 357362415 410304995 595604025 633236535 738548991 1055394225 1072087245 1230914985 1786812075 2051524975 2215646973 2543890969 3166182675 3692744955 5360436225 6154574925 6646940919 7631672907 11078234865 12719454845 18463724775 22895018721 33234704595 38158364535 55391174325 63597274225 68685056163 114475093605 166173522975 190791822675 206055168489 343425280815 572375468025 1030275842445 1717126404075 5151379212225