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504689472225 = 3452157872
BaseRepresentation
bin1110101100000011101…
…01100011001011100001
31210020200200021120210000
413112001311203023201
531232101001102400
61023503502530213
751314450506131
oct7260165431341
91706620246700
10504689472225
11185046060384
128198b596969
1338790863a03
141a5d9d70ac1
15d1dc69b600
hex7581d632e1

504689472225 has 45 divisors (see below), whose sum is σ = 934918583907. Its totient is φ = 269150668560.

The previous prime is 504689472223. The next prime is 504689472227. The reversal of 504689472225 is 522274986405.

The square root of 504689472225 is 710415.

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

504689472225 is a `hidden beast` number, since 5 + 0 + 468 + 94 + 72 + 2 + 25 = 666.

It is an interprime number because it is at equal distance from previous prime (504689472223) and next prime (504689472227).

It can be written as a sum of positive squares in only one way, i.e., 181688210001 + 323001262224 = 426249^2 + 568332^2 .

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

It is not a de Polignac number, because 504689472225 - 21 = 504689472223 is a prime.

It is a super-2 number, since 2×5046894722252 (a number of 24 digits) contains 22 as substring.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (504689472223) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 31960782 + ... + 31976568.

Almost surely, 2504689472225 is an apocalyptic number.

504689472225 is the 710415-th square number.

504689472225 is the 355208-th centered octagonal number.

It is an amenable number.

504689472225 is a deficient number, since it is larger than the sum of its proper divisors (430229111682).

504689472225 is an frugal number, since it uses more digits than its factorization.

504689472225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31596 (or 15795 counting only the distinct ones).

The product of its (nonzero) digits is 9676800, while the sum is 54.

The spelling of 504689472225 in words is "five hundred four billion, six hundred eighty-nine million, four hundred seventy-two thousand, two hundred twenty-five".

Divisors: 1 3 5 9 15 25 27 45 75 81 135 225 405 675 2025 15787 47361 78935 142083 236805 394675 426249 710415 1184025 1278747 2131245 3552075 6393735 10656225 31968675 249229369 747688107 1246146845 2243064321 3738440535 6230734225 6729192963 11215321605 18692202675 20187578889 33645964815 56076608025 100937894445 168229824075 504689472225