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13058125 = 54171229
BaseRepresentation
bin110001110100…
…000001001101
3220120102101021
4301310001031
511320330000
61143514141
7215664223
oct61640115
926512337
1013058125
117409843
124458951
132922802
141a3cb13
15122e11a
hexc7404d

13058125 has 20 divisors (see below), whose sum is σ = 17291340. Its totient is φ = 9824000.

The previous prime is 13058119. The next prime is 13058191. The reversal of 13058125 is 52185031.

It is a happy number.

13058125 is digitally balanced in base 3, 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 10 ways, for example, as 3992004 + 9066121 = 1998^2 + 3011^2 .

It is not a de Polignac number, because 13058125 - 29 = 13057613 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a self number, because there is not a number n which added to its sum of digits gives 13058125.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 10011 + ... + 11239.

It is an arithmetic number, because the mean of its divisors is an integer number (864567).

Almost surely, 213058125 is an apocalyptic number.

It is an amenable number.

13058125 is a deficient number, since it is larger than the sum of its proper divisors (4233215).

13058125 is an equidigital number, since it uses as much as digits as its factorization.

13058125 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1266 (or 1251 counting only the distinct ones).

The product of its (nonzero) digits is 1200, while the sum is 25.

The square root of 13058125 is about 3613.6027728570. The cubic root of 13058125 is about 235.4833870806.

The spelling of 13058125 in words is "thirteen million, fifty-eight thousand, one hundred twenty-five".

Divisors: 1 5 17 25 85 125 425 625 1229 2125 6145 10625 20893 30725 104465 153625 522325 768125 2611625 13058125