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13525010325 = 3252211347821
BaseRepresentation
bin11001001100010011…
…10100011110010101
31021220120200201020100
430212021310132111
5210144400312300
610114023524313
7656106455661
oct144611643625
937816621210
1013525010325
115810574492
1227555b9699
1313770a28b8
149243918a1
155425aa700
hex326274795

13525010325 has 72 divisors (see below), whose sum is σ = 24439480416. Its totient is φ = 7149744000.

The previous prime is 13525010309. The next prime is 13525010327. The reversal of 13525010325 is 52301052531.

It is a happy number.

13525010325 is a `hidden beast` number, since 13 + 525 + 0 + 103 + 25 = 666.

13525010325 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 13525010325 - 24 = 13525010309 is a prime.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13525010327) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 16473415 + ... + 16474235.

It is an arithmetic number, because the mean of its divisors is an integer number (339437228).

Almost surely, 213525010325 is an apocalyptic number.

13525010325 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

13525010325 is a deficient number, since it is larger than the sum of its proper divisors (10914470091).

13525010325 is a wasteful number, since it uses less digits than its factorization.

13525010325 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1395 (or 1387 counting only the distinct ones).

The product of its (nonzero) digits is 4500, while the sum is 27.

Adding to 13525010325 its reverse (52301052531), we get a palindrome (65826062856).

The spelling of 13525010325 in words is "thirteen billion, five hundred twenty-five million, ten thousand, three hundred twenty-five".

Divisors: 1 3 5 9 15 25 45 75 211 225 347 633 821 1041 1055 1735 1899 2463 3123 3165 4105 5205 5275 7389 8675 9495 12315 15615 15825 20525 26025 36945 47475 61575 73217 78075 173231 184725 219651 284887 366085 519693 658953 854661 866155 1098255 1424435 1559079 1830425 2563983 2598465 3294765 4273305 4330775 5491275 7122175 7795395 12819915 12992325 16473825 21366525 38976975 60111157 64099575 180333471 300555785 541000413 901667355 1502778925 2705002065 4508336775 13525010325