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13505010525 = 35522223047
BaseRepresentation
bin11001001001111011…
…00001101101011101
31021212012001121200000
430210331201231131
5210124240314100
610112031124513
7655444460346
oct144475415535
937765047600
1013505010525
115800254326
12274a973739
131372bbc5b6
149218670cd
15540959900
hex324f61b5d

13505010525 has 36 divisors (see below), whose sum is σ = 25084873632. Its totient is φ = 7202669040.

The previous prime is 13505010403. The next prime is 13505010529. The reversal of 13505010525 is 52501050531.

13505010525 is a `hidden beast` number, since 135 + 0 + 5 + 0 + 1 + 0 + 525 = 666.

It is not a de Polignac number, because 13505010525 - 28 = 13505010269 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 not an unprimeable number, because it can be changed into a prime (13505010529) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1105449 + ... + 1117598.

Almost surely, 213505010525 is an apocalyptic number.

13505010525 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

13505010525 is a deficient number, since it is larger than the sum of its proper divisors (11579863107).

13505010525 is an equidigital number, since it uses as much as digits as its factorization.

13505010525 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2223072 (or 2223055 counting only the distinct ones).

The product of its (nonzero) digits is 3750, while the sum is 27.

The spelling of 13505010525 in words is "thirteen billion, five hundred five million, ten thousand, five hundred twenty-five".

Divisors: 1 3 5 9 15 25 27 45 75 81 135 225 243 405 675 1215 2025 6075 2223047 6669141 11115235 20007423 33345705 55576175 60022269 100037115 166728525 180066807 300111345 500185575 540200421 900334035 1500556725 2701002105 4501670175 13505010525