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8505450625 = 5472172312
BaseRepresentation
bin1111110101111011…
…01110000010000001
3210221202111122210211
413322331232002001
5114404343410000
63523553154121
7420526065100
oct77275560201
923852448724
108505450625
113675117a41
12179455b941
13a57186129
145a987c037
1534ba8d7ba
hex1faf6e081

8505450625 has 135 divisors (see below), whose sum is σ = 13571051967. Its totient is φ = 5312160000.

The previous prime is 8505450607. The next prime is 8505450631. The reversal of 8505450625 is 5260545058.

The square root of 8505450625 is 92225.

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

It can be written as a sum of positive squares in 7 ways, for example, as 4153673601 + 4351777024 = 64449^2 + 65968^2 .

It is not a de Polignac number, because 8505450625 - 25 = 8505450593 is a prime.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 274369360 + ... + 274369390.

Almost surely, 28505450625 is an apocalyptic number.

8505450625 is a gapful number since it is divisible by the number (85) formed by its first and last digit.

8505450625 is the 92225-th square number.

8505450625 is the 46113-rd centered octagonal number.

It is an amenable number.

8505450625 is a deficient number, since it is larger than the sum of its proper divisors (5065601342).

8505450625 is an equidigital number, since it uses as much as digits as its factorization.

8505450625 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 130 (or 60 counting only the distinct ones).

The product of its (nonzero) digits is 240000, while the sum is 40.

The cubic root of 8505450625 is about 2041.2636846374.

The spelling of 8505450625 in words is "eight billion, five hundred five million, four hundred fifty thousand, six hundred twenty-five".

Divisors: 1 5 7 17 25 31 35 49 85 119 125 155 175 217 245 289 425 527 595 625 775 833 875 961 1085 1225 1445 1519 2023 2125 2635 2975 3689 3875 4165 4375 4805 5425 6125 6727 7225 7595 8959 10115 10625 13175 14161 14875 16337 18445 19375 20825 24025 25823 27125 30625 33635 36125 37975 44795 47089 50575 62713 65875 70805 74375 81685 92225 104125 114359 120125 129115 135625 168175 180625 189875 223975 235445 252875 277729 313565 329375 354025 408425 438991 461125 520625 571795 600625 645575 800513 840875 949375 1119875 1177225 1264375 1388645 1567825 1770125 1944103 2042125 2194955 2305625 2858975 3227875 4002565 4204375 5599375 5886125 6943225 7839125 8850625 9720515 10210625 10974775 13608721 14294875 16139375 20012825 29430625 34716125 39195625 48602575 54873875 68043605 71474375 100064125 173580625 243012875 274369375 340218025 500320625 1215064375 1701090125 8505450625