Search a number
-
+
13125139225 = 5211220832
BaseRepresentation
bin11000011100101000…
…11011101100011001
31020212201021011012121
430032110123230121
5203340013423400
610010221141241
7643152562012
oct141624335431
936781234177
1013125139225
115625887400
1226636ba821
1313122a7b93
148c7222009
1551c42021a
hex30e51bb19

13125139225 has 27 divisors (see below), whose sum is σ = 17897831679. Its totient is φ = 9540973200.

The previous prime is 13125139213. The next prime is 13125139253. The reversal of 13125139225 is 52293152131.

The square root of 13125139225 is 114565.

It is a perfect power (a square), and thus also a powerful number.

13125139225 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 only one way, i.e., 4725050121 + 8400089104 = 68739^2 + 91652^2 .

It is not a de Polignac number, because 13125139225 - 25 = 13125139193 is a prime.

It is a Duffinian 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 26 ways as a sum of consecutive naturals, for example, 6300034 + ... + 6302116.

Almost surely, 213125139225 is an apocalyptic number.

13125139225 is the 114565-th square number.

13125139225 is the 57283-rd centered octagonal number.

It is an amenable number.

13125139225 is a deficient number, since it is larger than the sum of its proper divisors (4772692454).

13125139225 is an frugal number, since it uses more digits than its factorization.

13125139225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4198 (or 2099 counting only the distinct ones).

The product of its digits is 16200, while the sum is 34.

The spelling of 13125139225 in words is "thirteen billion, one hundred twenty-five million, one hundred thirty-nine thousand, two hundred twenty-five".

Divisors: 1 5 11 25 55 121 275 605 2083 3025 10415 22913 52075 114565 252043 572825 1260215 4338889 6301075 21694445 47727779 108472225 238638895 525005569 1193194475 2625027845 13125139225