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1051136550225 = 325261731049117
BaseRepresentation
bin11110100101111001001…
…11101110010101010001
310201111011111212022220200
433102330213232111101
5114210211424101400
62122515132125413
7135641100154206
oct17227447562521
93644144768820
101051136550225
1137586a1a7a53
1214b873606869
1378177645798
1438c37aabcad
151c520cb1b00
hexf4bc9ee551

1051136550225 has 72 divisors (see below), whose sum is σ = 1939781413752. Its totient is φ = 543861734400.

The previous prime is 1051136550203. The next prime is 1051136550253. The reversal of 1051136550225 is 5220556311501.

1051136550225 is a `hidden beast` number, since 1 + 0 + 51 + 1 + 36 + 550 + 2 + 25 = 666.

It can be written as a sum of positive squares in 12 ways, for example, as 471552769809 + 579583780416 = 686697^2 + 761304^2 .

It is not a de Polignac number, because 1051136550225 - 210 = 1051136549201 is a prime.

It is a super-2 number, since 2×10511365502252 (a number of 25 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 1051136550225.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 477367 + ... + 1526483.

Almost surely, 21051136550225 is an apocalyptic number.

1051136550225 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

1051136550225 is a deficient number, since it is larger than the sum of its proper divisors (888644863527).

1051136550225 is a wasteful number, since it uses less digits than its factorization.

1051136550225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1049267 (or 1049259 counting only the distinct ones).

The product of its (nonzero) digits is 45000, while the sum is 36.

The spelling of 1051136550225 in words is "one trillion, fifty-one billion, one hundred thirty-six million, five hundred fifty thousand, two hundred twenty-five".

Divisors: 1 3 5 9 15 25 45 61 73 75 183 219 225 305 365 549 657 915 1095 1525 1825 2745 3285 4453 4575 5475 13359 13725 16425 22265 40077 66795 111325 200385 333975 1001925 1049117 3147351 5245585 9442053 15736755 26227925 47210265 63996137 76585541 78683775 191988411 229756623 236051325 319980685 382927705 575965233 689269869 959942055 1148783115 1599903425 1914638525 2879826165 3446349345 4671718001 4799710275 5743915575 14015154003 14399130825 17231746725 23358590005 42045462009 70075770015 116792950025 210227310045 350378850075 1051136550225