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13045825 = 5213137293
BaseRepresentation
bin110001110001…
…000001000001
3220112210111201
4301301001001
511314431300
61143341201
7215613322
oct61610101
926483451
1013045825
117400581
124451801
13291a030
141a38449
15122a66a
hexc71041

13045825 has 24 divisors (see below), whose sum is σ = 17608248. Its totient is φ = 9530880.

The previous prime is 13045811. The next prime is 13045841. The reversal of 13045825 is 52854031.

It can be written as a sum of positive squares in 12 ways, for example, as 2076481 + 10969344 = 1441^2 + 3312^2 .

It is not a de Polignac number, because 13045825 - 215 = 13013057 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 13045793 and 13045802.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 44379 + ... + 44671.

It is an arithmetic number, because the mean of its divisors is an integer number (733677).

Almost surely, 213045825 is an apocalyptic number.

It is an amenable number.

13045825 is a deficient number, since it is larger than the sum of its proper divisors (4562423).

13045825 is a wasteful number, since it uses less digits than its factorization.

13045825 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 453 (or 448 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 28.

The square root of 13045825 is about 3611.9004692821. The cubic root of 13045825 is about 235.4094266010.

Adding to 13045825 its reverse (52854031), we get a palindrome (65899856).

The spelling of 13045825 in words is "thirteen million, forty-five thousand, eight hundred twenty-five".

Divisors: 1 5 13 25 65 137 293 325 685 1465 1781 3425 3809 7325 8905 19045 40141 44525 95225 200705 521833 1003525 2609165 13045825