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9161361225 = 36527092
BaseRepresentation
bin10001000100000111…
…10100011101001001
3212122110201101000000
420202003310131021
5122230302024400
64113023433213
7443012166642
oct104203643511
925573641000
109161361225
113981393315
121938155809
13b30029503
1462ca1a6c9
15389452600
hex2220f4749

9161361225 has 63 divisors (see below), whose sum is σ = 17056397253. Its totient is φ = 4879167840.

The previous prime is 9161361137. The next prime is 9161361257. The reversal of 9161361225 is 5221631619.

The square root of 9161361225 is 95715.

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

9161361225 is a `hidden beast` number, since 9 + 1 + 6 + 13 + 612 + 25 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 2530190601 + 6631170624 = 50301^2 + 81432^2 .

It is a de Polignac number, because none of the positive numbers 2k-9161361225 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 9161361225.

It is an unprimeable number.

It is a polite number, since it can be written in 62 ways as a sum of consecutive naturals, for example, 12921171 + ... + 12921879.

Almost surely, 29161361225 is an apocalyptic number.

9161361225 is the 95715-th square number.

9161361225 is the 47858-th centered octagonal number.

It is an amenable number.

9161361225 is a deficient number, since it is larger than the sum of its proper divisors (7895036028).

9161361225 is an frugal number, since it uses more digits than its factorization.

9161361225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1446 (or 717 counting only the distinct ones).

The product of its digits is 19440, while the sum is 36.

The cubic root of 9161361225 is about 2092.4415523043.

Multiplying 9161361225 by its sum of digits (36), we get a square (329809004100 = 5742902).

The spelling of 9161361225 in words is "nine billion, one hundred sixty-one million, three hundred sixty-one thousand, two hundred twenty-five".

Divisors: 1 3 5 9 15 25 27 45 75 81 135 225 243 405 675 709 729 1215 2025 2127 3545 3645 6075 6381 10635 17725 18225 19143 31905 53175 57429 95715 159525 172287 287145 478575 502681 516861 861435 1435725 1508043 2513405 2584305 4307175 4524129 7540215 12567025 12921525 13572387 22620645 37701075 40717161 67861935 113103225 122151483 203585805 339309675 366454449 610757415 1017929025 1832272245 3053787075 9161361225