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263250625 = 54112592
BaseRepresentation
bin11111011000011…
…10001011000001
3200100100111222011
433230032023001
51014343010000
642042212521
76344410351
oct1754161301
9610314864
10263250625
11125664100
12741b4141
1342701a01
1426d68b61
15181a02ba
hexfb0e2c1

263250625 has 45 divisors (see below), whose sum is σ = 367814293. Its totient is φ = 188210000.

The previous prime is 263250607. The next prime is 263250653. The reversal of 263250625 is 526052362.

The square root of 263250625 is 16225.

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

263250625 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 20638849 + 242611776 = 4543^2 + 15576^2 .

It is not a de Polignac number, because 263250625 - 219 = 262726337 is a prime.

It is an unprimeable number.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 4461846 + ... + 4461904.

Almost surely, 2263250625 is an apocalyptic number.

263250625 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

263250625 is the 16225-th square number.

263250625 is the 8113-rd centered octagonal number.

It is an amenable number.

263250625 is a deficient number, since it is larger than the sum of its proper divisors (104563668).

263250625 is an frugal number, since it uses more digits than its factorization.

263250625 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 160 (or 75 counting only the distinct ones).

The product of its (nonzero) digits is 21600, while the sum is 31.

The cubic root of 263250625 is about 640.8993094550.

The spelling of 263250625 in words is "two hundred sixty-three million, two hundred fifty thousand, six hundred twenty-five".

Divisors: 1 5 11 25 55 59 121 125 275 295 605 625 649 1375 1475 3025 3245 3481 6875 7139 7375 15125 16225 17405 35695 36875 38291 75625 81125 87025 178475 191455 405625 421201 435125 892375 957275 2106005 2175625 4461875 4786375 10530025 23931875 52650125 263250625