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13123412525 = 523726215413
BaseRepresentation
bin11000011100011011…
…10110001000101101
31020212121000102121202
430032031312020231
5203334043200100
610010120135245
7643132110626
oct141615661055
936777012552
1013123412525
115624908083
122663007525
131311b21c72
148c6cd2a4d
1551c1cd7d5
hex30e37622d

13123412525 has 24 divisors (see below), whose sum is σ = 16722308424. Its totient is φ = 10209196800.

The previous prime is 13123412509. The next prime is 13123412527. The reversal of 13123412525 is 52521432131.

13123412525 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 12 ways, for example, as 1008888169 + 12114524356 = 31763^2 + 110066^2 .

It is not a de Polignac number, because 13123412525 - 24 = 13123412509 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13123412527) 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 23 ways as a sum of consecutive naturals, for example, 2421719 + ... + 2427131.

It is an arithmetic number, because the mean of its divisors is an integer number (696762851).

Almost surely, 213123412525 is an apocalyptic number.

It is an amenable number.

13123412525 is a deficient number, since it is larger than the sum of its proper divisors (3598895899).

13123412525 is a wasteful number, since it uses less digits than its factorization.

13123412525 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8081 (or 8076 counting only the distinct ones).

The product of its digits is 7200, while the sum is 29.

Adding to 13123412525 its reverse (52521432131), we get a palindrome (65644844656).

The spelling of 13123412525 in words is "thirteen billion, one hundred twenty-three million, four hundred twelve thousand, five hundred twenty-five".

Divisors: 1 5 25 37 185 925 2621 5413 13105 27065 65525 96977 135325 200281 484885 1001405 2424425 5007025 14187473 70937365 354686825 524936501 2624682505 13123412525