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13503532225 = 521729771913
BaseRepresentation
bin11001001001101111…
…11000110011000001
31021212002021111211011
430210313320303001
5210123401012400
610111535320521
7655426062421
oct144467706301
937762244734
1013503532225
1157aa434697
12274a380141
1313727c2771
149215a0481
155407668ba
hex324df8cc1

13503532225 has 36 divisors (see below), whose sum is σ = 17814796164. Its totient is φ = 10151649280.

The previous prime is 13503532223. The next prime is 13503532249. The reversal of 13503532225 is 52223530531.

13503532225 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 18 ways, for example, as 337346689 + 13166185536 = 18367^2 + 114744^2 .

It is not a de Polignac number, because 13503532225 - 21 = 13503532223 is a prime.

It is a super-2 number, since 2×135035322252 (a number of 21 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (13503532223) 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 35 ways as a sum of consecutive naturals, for example, 7057869 + ... + 7059781.

It is an arithmetic number, because the mean of its divisors is an integer number (494855449).

Almost surely, 213503532225 is an apocalyptic number.

It is an amenable number.

13503532225 is a deficient number, since it is larger than the sum of its proper divisors (4311263939).

13503532225 is a wasteful number, since it uses less digits than its factorization.

13503532225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2934 (or 2912 counting only the distinct ones).

The product of its (nonzero) digits is 27000, while the sum is 31.

The spelling of 13503532225 in words is "thirteen billion, five hundred three million, five hundred thirty-two thousand, two hundred twenty-five".

Divisors: 1 5 17 25 85 289 425 977 1445 1913 4885 7225 9565 16609 24425 32521 47825 83045 162605 282353 415225 552857 813025 1411765 1869001 2764285 7058825 9345005 13821425 31773017 46725025 158865085 540141289 794325425 2700706445 13503532225