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81123525 = 345275997
BaseRepresentation
bin1001101010111…
…01100011000101
312122122111120000
410311131203011
5131231423100
612014431513
72003352510
oct465354305
9178574500
1081123525
114187933a
1223202599
1313a648b2
14aab9d77
1571c6900
hex4d5d8c5

81123525 has 120 divisors (see below), whose sum is σ = 176447040. Its totient is φ = 36080640.

The previous prime is 81123517. The next prime is 81123547. The reversal of 81123525 is 52532118.

It is a happy number.

It is not a de Polignac number, because 81123525 - 23 = 81123517 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 an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 836277 + ... + 836373.

It is an arithmetic number, because the mean of its divisors is an integer number (1470392).

Almost surely, 281123525 is an apocalyptic number.

It is an amenable number.

81123525 is an abundant number, since it is smaller than the sum of its proper divisors (95323515).

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

81123525 is a wasteful number, since it uses less digits than its factorization.

81123525 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 185 (or 171 counting only the distinct ones).

The product of its digits is 2400, while the sum is 27.

The square root of 81123525 is about 9006.8598856649. The cubic root of 81123525 is about 432.8947024419.

It can be divided in two parts, 811 and 23525, that added together give a square (24336 = 1562).

The spelling of 81123525 in words is "eighty-one million, one hundred twenty-three thousand, five hundred twenty-five".

Divisors: 1 3 5 7 9 15 21 25 27 35 45 59 63 75 81 97 105 135 175 177 189 225 291 295 315 405 413 485 525 531 567 675 679 873 885 945 1239 1455 1475 1575 1593 2025 2037 2065 2425 2619 2655 2835 3395 3717 4365 4425 4725 4779 5723 6111 6195 7275 7857 7965 10185 10325 11151 13095 13275 14175 16975 17169 18333 18585 21825 23895 28615 30555 30975 33453 39285 39825 40061 50925 51507 54999 55755 65475 85845 91665 92925 119475 120183 143075 152775 154521 167265 196425 200305 257535 274995 278775 360549 429225 458325 463563 600915 772605 836325 1001525 1081647 1287675 1374975 1802745 2317815 3004575 3244941 3863025 5408235 9013725 11589075 16224705 27041175 81123525