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13524435325 = 525310207121
BaseRepresentation
bin11001001100001111…
…01000000101111101
31021220112121111111001
430212013220011331
5210144223412300
610114003330301
7656101542412
oct144607500575
937815544431
1013524435325
115810211485
122755380991
131376c30c6b
14924282109
155424e516a
hex3261e817d

13524435325 has 12 divisors (see below), whose sum is σ = 17086722228. Its totient is φ = 10615404800.

The previous prime is 13524435299. The next prime is 13524435361. The reversal of 13524435325 is 52353442531.

13524435325 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 6 ways, for example, as 82119844 + 13442315481 = 9062^2 + 115941^2 .

It is not a de Polignac number, because 13524435325 - 229 = 12987564413 is a prime.

It is a Duffinian number.

It is a congruent number.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 5102236 + ... + 5104885.

It is an arithmetic number, because the mean of its divisors is an integer number (1423893519).

Almost surely, 213524435325 is an apocalyptic number.

It is an amenable number.

13524435325 is a deficient number, since it is larger than the sum of its proper divisors (3562286903).

13524435325 is a wasteful number, since it uses less digits than its factorization.

13524435325 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10207184 (or 10207179 counting only the distinct ones).

The product of its digits is 216000, while the sum is 37.

Adding to 13524435325 its reverse (52353442531), we get a palindrome (65877877856).

It can be divided in two parts, 135244 and 35325, that added together give a square (170569 = 4132).

The spelling of 13524435325 in words is "thirteen billion, five hundred twenty-four million, four hundred thirty-five thousand, three hundred twenty-five".

Divisors: 1 5 25 53 265 1325 10207121 51035605 255178025 540977413 2704887065 13524435325