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13253625 = 345371117
BaseRepresentation
bin110010100011…
…101111111001
3220221100120000
4302203233321
511343104000
61152023213
7220440210
oct62435771
926840500
1013253625
117532710
124531b09
1329907a8
141a90077
15126c000
hexca3bf9

13253625 has 160 divisors (see below), whose sum is σ = 32617728. Its totient is φ = 5184000.

The previous prime is 13253587. The next prime is 13253627. The reversal of 13253625 is 52635231.

13253625 is a `hidden beast` number, since 1 + 32 + 5 + 3 + 625 = 666.

It is not a de Polignac number, because 13253625 - 26 = 13253561 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13253627) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 779617 + ... + 779633.

Almost surely, 213253625 is an apocalyptic number.

13253625 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

13253625 is an abundant number, since it is smaller than the sum of its proper divisors (19364103).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

13253625 is a wasteful number, since it uses less digits than its factorization.

13253625 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 62 (or 43 counting only the distinct ones).

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

The square root of 13253625 is about 3640.5528426326. The cubic root of 13253625 is about 236.6527521630.

Adding to 13253625 its reverse (52635231), we get a palindrome (65888856).

It can be divided in two parts, 1325 and 3625, that added together give a triangular number (4950 = T99).

The spelling of 13253625 in words is "thirteen million, two hundred fifty-three thousand, six hundred twenty-five".

Divisors: 1 3 5 7 9 11 15 17 21 25 27 33 35 45 51 55 63 75 77 81 85 99 105 119 125 135 153 165 175 187 189 225 231 255 275 297 315 357 375 385 405 425 459 495 525 561 567 595 675 693 765 825 875 891 935 945 1071 1125 1155 1275 1309 1375 1377 1485 1575 1683 1785 1925 2025 2079 2125 2295 2475 2625 2805 2835 2975 3213 3375 3465 3825 3927 4125 4455 4675 4725 5049 5355 5775 6237 6375 6545 6885 7425 7875 8415 8925 9625 9639 10125 10395 11475 11781 12375 14025 14175 14875 15147 16065 17325 19125 19635 22275 23375 23625 25245 26775 28875 31185 32725 34425 35343 37125 42075 44625 48195 51975 57375 58905 70125 70875 75735 80325 86625 98175 106029 111375 126225 133875 155925 163625 172125 176715 210375 240975 259875 294525 378675 401625 490875 530145 631125 779625 883575 1204875 1472625 1893375 2650725 4417875 13253625