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13121325 = 335272777
BaseRepresentation
bin110010000011…
…011100101101
3220200122002000
4302003130231
511324340300
61145122513
7216346410
oct62033455
926618060
1013121325
117452278
124489439
1329454c9
141a57b77
151242c00
hexc8372d

13121325 has 48 divisors (see below), whose sum is σ = 27557760. Its totient is φ = 5996160.

The previous prime is 13121309. The next prime is 13121327. The reversal of 13121325 is 52312131.

13121325 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 13121325 - 24 = 13121309 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 13121298 and 13121307.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13121327) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3337 + ... + 6113.

It is an arithmetic number, because the mean of its divisors is an integer number (574120).

Almost surely, 213121325 is an apocalyptic number.

13121325 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

13121325 is an abundant number, since it is smaller than the sum of its proper divisors (14436435).

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

13121325 is a wasteful number, since it uses less digits than its factorization.

13121325 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2803 (or 2792 counting only the distinct ones).

The product of its digits is 180, while the sum is 18.

The square root of 13121325 is about 3622.3369528524. The cubic root of 13121325 is about 235.8626810554.

Adding to 13121325 its reverse (52312131), we get a palindrome (65433456).

The spelling of 13121325 in words is "thirteen million, one hundred twenty-one thousand, three hundred twenty-five".

Divisors: 1 3 5 7 9 15 21 25 27 35 45 63 75 105 135 175 189 225 315 525 675 945 1575 2777 4725 8331 13885 19439 24993 41655 58317 69425 74979 97195 124965 174951 208275 291585 374895 485975 524853 624825 874755 1457925 1874475 2624265 4373775 13121325