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13481325 = 32521113419
BaseRepresentation
bin110011011011…
…010101101101
3221100220220100
4303123111231
511422400300
61200541313
7222406104
oct63332555
927326810
1013481325
1176787a0
124621839
132a40320
141b0d03b
1512b4700
hexcdb56d

13481325 has 72 divisors (see below), whose sum is σ = 28435680. Its totient is φ = 6019200.

The previous prime is 13481309. The next prime is 13481327. The reversal of 13481325 is 52318431.

It is a happy number.

It is not a de Polignac number, because 13481325 - 24 = 13481309 is a prime.

It is a super-2 number, since 2×134813252 = 363492247511250, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13481327) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 31966 + ... + 32384.

It is an arithmetic number, because the mean of its divisors is an integer number (394940).

Almost surely, 213481325 is an apocalyptic number.

13481325 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

13481325 is an abundant number, since it is smaller than the sum of its proper divisors (14954355).

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

13481325 is a wasteful number, since it uses less digits than its factorization.

13481325 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 459 (or 451 counting only the distinct ones).

The product of its digits is 2880, while the sum is 27.

The square root of 13481325 is about 3671.6923890762. The cubic root of 13481325 is about 238.0003118891. Note that the first 3 decimals are identical.

Adding to 13481325 its reverse (52318431), we get a palindrome (65799756).

The spelling of 13481325 in words is "thirteen million, four hundred eighty-one thousand, three hundred twenty-five".

Divisors: 1 3 5 9 11 13 15 25 33 39 45 55 65 75 99 117 143 165 195 225 275 325 419 429 495 585 715 825 975 1257 1287 2095 2145 2475 2925 3575 3771 4609 5447 6285 6435 10475 10725 13827 16341 18855 23045 27235 31425 32175 41481 49023 59917 69135 81705 94275 115225 136175 179751 207405 245115 299585 345675 408525 539253 898755 1037025 1225575 1497925 2696265 4493775 13481325