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12993525 = 3252174379
BaseRepresentation
bin110001100100…
…001111110101
3220110010202200
4301210033311
511311243100
61142255113
7215304666
oct61441765
926403680
1012993525
117375256
124427499
1328cc29c
141a2336d
151219e00
hexc643f5

12993525 has 72 divisors (see below), whose sum is σ = 25534080. Its totient is φ = 6289920.

The previous prime is 12993509. The next prime is 12993571. The reversal of 12993525 is 52539921.

It is a happy number.

12993525 is a `hidden beast` number, since 129 + 9 + 3 + 525 = 666.

It is not a de Polignac number, because 12993525 - 24 = 12993509 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 12993525.

It is a congruent number.

It is an unprimeable number.

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 71 ways as a sum of consecutive naturals, for example, 164436 + ... + 164514.

It is an arithmetic number, because the mean of its divisors is an integer number (354640).

It is a vampire number, since it can be written as 21935925 (with its own digits).

Almost surely, 212993525 is an apocalyptic number.

12993525 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

12993525 is a deficient number, since it is larger than the sum of its proper divisors (12540555).

12993525 is a wasteful number, since it uses less digits than its factorization.

12993525 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 155 (or 147 counting only the distinct ones).

The product of its digits is 24300, while the sum is 36.

The square root of 12993525 is about 3604.6532426851. The cubic root of 12993525 is about 235.0944241041.

The spelling of 12993525 in words is "twelve million, nine hundred ninety-three thousand, five hundred twenty-five".

Divisors: 1 3 5 9 15 17 25 43 45 51 75 79 85 129 153 215 225 237 255 387 395 425 645 711 731 765 1075 1185 1275 1343 1935 1975 2193 3225 3397 3555 3655 3825 4029 5925 6579 6715 9675 10191 10965 12087 16985 17775 18275 20145 30573 32895 33575 50955 54825 57749 60435 84925 100725 152865 164475 173247 254775 288745 302175 519741 764325 866235 1443725 2598705 4331175 12993525