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13125853 = 131759393
BaseRepresentation
bin110010000100…
…100011011101
3220200212021201
4302010203131
511330011403
61145155501
7216365536
oct62044335
926625251
1013125853
117455714
12448bb91
1329475a0
141a5968d
15124421d
hexc848dd

13125853 has 8 divisors (see below), whose sum is σ = 14967288. Its totient is φ = 11403264.

The previous prime is 13125851. The next prime is 13125877. The reversal of 13125853 is 35852131.

It can be written as a sum of positive squares in 4 ways, for example, as 466489 + 12659364 = 683^2 + 3558^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 13125853 - 21 = 13125851 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 (13125851) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 29476 + ... + 29917.

It is an arithmetic number, because the mean of its divisors is an integer number (1870911).

Almost surely, 213125853 is an apocalyptic number.

13125853 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

13125853 is a deficient number, since it is larger than the sum of its proper divisors (1841435).

13125853 is a wasteful number, since it uses less digits than its factorization.

13125853 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 59423.

The product of its digits is 3600, while the sum is 28.

The square root of 13125853 is about 3622.9619098191. The cubic root of 13125853 is about 235.8898089914.

Adding to 13125853 its reverse (35852131), we get a palindrome (48977984).

The spelling of 13125853 in words is "thirteen million, one hundred twenty-five thousand, eight hundred fifty-three".

Divisors: 1 13 17 221 59393 772109 1009681 13125853