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13150355625 = 32541121392
BaseRepresentation
bin11000011111101001…
…01000000010101001
31020221110201021121100
430033310220002221
5203412442340000
610012521432013
7643610115141
oct141764500251
936843637540
1013150355625
11563903a900
12267003b609
131317596724
148ca707921
1551e751a00
hex30fd280a9

13150355625 has 135 divisors (see below), whose sum is σ = 26279141889. Its totient is φ = 6330060000.

The previous prime is 13150355599. The next prime is 13150355633. The reversal of 13150355625 is 52655305131.

The square root of 13150355625 is 114675.

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

13150355625 is a `hidden beast` number, since 1 + 31 + 50 + 3 + 556 + 25 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 1030987881 + 12119367744 = 32109^2 + 110088^2 .

It is not a de Polignac number, because 13150355625 - 217 = 13150224553 is a prime.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 13150355625.

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, 94606806 + ... + 94606944.

Almost surely, 213150355625 is an apocalyptic number.

13150355625 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

13150355625 is the 114675-th square number.

13150355625 is the 57338-th centered octagonal number.

It is an amenable number.

13150355625 is a deficient number, since it is larger than the sum of its proper divisors (13128786264).

13150355625 is an equidigital number, since it uses as much as digits as its factorization.

13150355625 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 326 (or 158 counting only the distinct ones).

The product of its (nonzero) digits is 67500, while the sum is 36.

Multiplying 13150355625 by its sum of digits (36), we get a square (473412802500 = 6880502).

The spelling of 13150355625 in words is "thirteen billion, one hundred fifty million, three hundred fifty-five thousand, six hundred twenty-five".

Divisors: 1 3 5 9 11 15 25 33 45 55 75 99 121 125 139 165 225 275 363 375 417 495 605 625 695 825 1089 1125 1251 1375 1529 1815 1875 2085 2475 3025 3475 4125 4587 5445 5625 6255 6875 7645 9075 10425 12375 13761 15125 16819 17375 19321 20625 22935 27225 31275 38225 45375 50457 52125 57963 61875 68805 75625 84095 86875 96605 114675 136125 151371 156375 173889 191125 212531 226875 252285 260625 289815 344025 420475 483025 573375 637593 680625 756855 781875 869445 955625 1062655 1261425 1449075 1720125 1912779 2102375 2337841 2415125 2866875 3187965 3784275 4347225 5313275 6307125 7013523 7245375 8600625 9563895 10511875 11689205 12075625 15939825 18921375 21040569 21736125 26566375 31535625 35067615 36226875 47819475 58446025 79699125 94606875 105202845 108680625 132831875 175338075 239097375 292230125 398495625 526014225 876690375 1195486875 1461150625 2630071125 4383451875 13150355625