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10252325133 = 3217113733809
BaseRepresentation
bin10011000110001011…
…00001000100001101
3222110111120002010200
421203011201010031
5131444043401013
64413154524113
7512030216511
oct114305410415
928414502120
1010252325133
114391196686
121ba1596639
13c7506529b
146d3886141
15400100e73
hex26316110d

10252325133 has 48 divisors (see below), whose sum is σ = 15859949040. Its totient is φ = 6359334912.

The previous prime is 10252325123. The next prime is 10252325173. The reversal of 10252325133 is 33152325201.

It is a happy number.

10252325133 is a `hidden beast` number, since 1 + 0 + 2 + 523 + 2 + 5 + 133 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 1247643684 + 9004681449 = 35322^2 + 94893^2 .

It is not a de Polignac number, because 10252325133 - 24 = 10252325117 is a prime.

It is a super-2 number, since 2×102523251332 (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 10252325097 and 10252325106.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10252325123) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 12672433 + ... + 12673241.

It is an arithmetic number, because the mean of its divisors is an integer number (330415605).

Almost surely, 210252325133 is an apocalyptic number.

It is an amenable number.

10252325133 is a deficient number, since it is larger than the sum of its proper divisors (5607623907).

10252325133 is a wasteful number, since it uses less digits than its factorization.

10252325133 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1678 (or 1675 counting only the distinct ones).

The product of its (nonzero) digits is 5400, while the sum is 27.

The spelling of 10252325133 in words is "ten billion, two hundred fifty-two million, three hundred twenty-five thousand, one hundred thirty-three".

Divisors: 1 3 9 17 51 113 153 339 733 809 1017 1921 2199 2427 5763 6597 7281 12461 13753 17289 37383 41259 82829 91417 112149 123777 248487 274251 592997 745461 822753 1408093 1554089 1778991 4224279 4662267 5336973 10080949 12672837 13986801 30242847 67008661 90728541 201025983 603077949 1139147237 3417441711 10252325133