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263575225 = 521721912
BaseRepresentation
bin11111011010111…
…01011010111001
3200100222000020101
433231131122321
51014433401400
642053155401
76350231614
oct1755353271
9610860211
10263575225
11125865a71
127432bb61
13427b6694
142701117b
151821656a
hexfb5d6b9

263575225 has 27 divisors (see below), whose sum is σ = 349016941. Its totient is φ = 197417600.

The previous prime is 263575177. The next prime is 263575231. The reversal of 263575225 is 522575362.

The square root of 263575225 is 16235.

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

It can be written as a sum of positive squares in 4 ways, for example, as 6165289 + 257409936 = 2483^2 + 16044^2 .

It is not a de Polignac number, because 263575225 - 27 = 263575097 is a prime.

It is a Duffinian number.

It is an unprimeable number.

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 26 ways as a sum of consecutive naturals, for example, 1379880 + ... + 1380070.

Almost surely, 2263575225 is an apocalyptic number.

263575225 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

263575225 is the 16235-th square number.

263575225 is the 8118-th centered octagonal number.

It is an amenable number.

263575225 is a deficient number, since it is larger than the sum of its proper divisors (85441716).

263575225 is an equidigital number, since it uses as much as digits as its factorization.

263575225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 426 (or 213 counting only the distinct ones).

The product of its digits is 126000, while the sum is 37.

The cubic root of 263575225 is about 641.1626205974.

The spelling of 263575225 in words is "two hundred sixty-three million, five hundred seventy-five thousand, two hundred twenty-five".

Divisors: 1 5 17 25 85 191 289 425 955 1445 3247 4775 7225 16235 36481 55199 81175 182405 275995 620177 912025 1379975 3100885 10543009 15504425 52715045 263575225