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13095369225 = 345225432
BaseRepresentation
bin11000011001000101…
…10111101000001001
31020210122020200110000
430030202313220021
5203304403303400
610003235113213
7642341542011
oct141442675011
936718220400
1013095369225
11560aaa37a4
122655742809
1313090837b3
148c32b2c41
155199de600
hex30c8b7a09

13095369225 has 45 divisors (see below), whose sum is σ = 24266693143. Its totient is φ = 6981450480.

The previous prime is 13095369211. The next prime is 13095369227. The reversal of 13095369225 is 52296359031.

The square root of 13095369225 is 114435.

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

13095369225 is a `hidden beast` number, since 1 + 3 + 0 + 9 + 536 + 92 + 25 = 666.

It can be written as a sum of positive squares in only one way, i.e., 4714332921 + 8381036304 = 68661^2 + 91548^2 .

It is a tau number, because it is divible by the number of its divisors (45).

It is not a de Polignac number, because 13095369225 - 219 = 13094844937 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (13095369227) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 5148304 + ... + 5150846.

Almost surely, 213095369225 is an apocalyptic number.

13095369225 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

13095369225 is the 114435-th square number.

13095369225 is the 57218-th centered octagonal number.

It is an amenable number.

13095369225 is a deficient number, since it is larger than the sum of its proper divisors (11171323918).

13095369225 is an frugal number, since it uses more digits than its factorization.

13095369225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5108 (or 2551 counting only the distinct ones).

The product of its (nonzero) digits is 437400, while the sum is 45.

The spelling of 13095369225 in words is "thirteen billion, ninety-five million, three hundred sixty-nine thousand, two hundred twenty-five".

Divisors: 1 3 5 9 15 25 27 45 75 81 135 225 405 675 2025 2543 7629 12715 22887 38145 63575 68661 114435 190725 205983 343305 572175 1029915 1716525 5149575 6466849 19400547 32334245 58201641 97002735 161671225 174604923 291008205 485013675 523814769 873024615 1455041025 2619073845 4365123075 13095369225