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13003981225 = 52228072
BaseRepresentation
bin11000001110001100…
…10000000110101001
31020120021021200200021
430013012100012221
5203113004344400
65550212240441
7640152005464
oct140706200651
936507250607
1013003981225
115573454624
12262b010121
1312c3166b61
148b50c42db
1551198b71a
hex3071901a9

13003981225 has 9 divisors (see below), whose sum is σ = 16125643767. Its totient is φ = 10402728840.

The previous prime is 13003981223. The next prime is 13003981279. The reversal of 13003981225 is 52218930031.

The square root of 13003981225 is 114035.

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

It can be written as a sum of positive squares in only one way, i.e., 4681433241 + 8322547984 = 68421^2 + 91228^2 .

It is not a de Polignac number, because 13003981225 - 21 = 13003981223 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (13003981223) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 558772 + ... + 581578.

Almost surely, 213003981225 is an apocalyptic number.

13003981225 is the 114035-th square number.

13003981225 is the 57018-th centered octagonal number.

It is an amenable number.

13003981225 is a deficient number, since it is larger than the sum of its proper divisors (3121662542).

13003981225 is an frugal number, since it uses more digits than its factorization.

13003981225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45624 (or 22812 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 34.

The spelling of 13003981225 in words is "thirteen billion, three million, nine hundred eighty-one thousand, two hundred twenty-five".

Divisors: 1 5 25 22807 114035 570175 520159249 2600796245 13003981225