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8613139084225 = 5213216322772
BaseRepresentation
bin111110101010110011100…
…0110000111001111000001
31010111102000110202002111121
41331111213012013033001
52112104202101143400
630152453234312241
71546164421146244
oct175254706071701
933442013662447
108613139084225
1128208a2518225
12b7134aa28681
134a62a569c900
1421ac4193525b
15ee0aa55a21a
hex7d5671873c1

8613139084225 has 81 divisors (see below), whose sum is σ = 11678597387163. Its totient is φ = 6298629517440.

The previous prime is 8613139084223. The next prime is 8613139084247. The reversal of 8613139084225 is 5224809313168.

The square root of 8613139084225 is 2934815.

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

It can be written as a sum of positive squares in 13 ways, for example, as 8519632783281 + 93506300944 = 2918841^2 + 305788^2 .

It is not a de Polignac number, because 8613139084225 - 21 = 8613139084223 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (8613139084223) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 31094364787 + ... + 31094365063.

Almost surely, 28613139084225 is an apocalyptic number.

8613139084225 is the 2934815-th square number.

8613139084225 is the 1467408-th centered octagonal number.

It is an amenable number.

8613139084225 is a deficient number, since it is larger than the sum of its proper divisors (3065458302938).

8613139084225 is an equidigital number, since it uses as much as digits as its factorization.

8613139084225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 916 (or 458 counting only the distinct ones).

The product of its (nonzero) digits is 2488320, while the sum is 52.

The spelling of 8613139084225 in words is "eight trillion, six hundred thirteen billion, one hundred thirty-nine million, eighty-four thousand, two hundred twenty-five".

Divisors: 1 5 13 25 65 163 169 277 325 815 845 1385 2119 3601 4075 4225 6925 10595 18005 26569 27547 45151 46813 52975 76729 90025 132845 137735 225755 234065 345397 383645 586963 664225 688675 997477 1128775 1170325 1726985 1918225 2934815 4490161 4987385 7359613 7630519 8634925 12506827 12967201 14674075 22450805 24936925 36798065 38152595 62534135 64836005 95674969 112254025 162588751 183990325 190762975 312670675 324180025 478374845 812943755 1243774597 2038612801 2113653763 2391874225 4064718775 6218872985 10193064005 10568268815 26501966413 31094364925 50965320025 52841344075 132509832065 344525563369 662549160325 1722627816845 8613139084225