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565250625 = 32543172
BaseRepresentation
bin100001101100010…
…000101001000001
31110101121201002100
4201230100221001
52124201010000
6132031141013
720002360002
oct4154205101
91411551070
10565250625
11270084185
12139374769
139014cc34
14550dd1a9
1534956a00
hex21b10a41

565250625 has 45 divisors (see below), whose sum is σ = 1023493471. Its totient is φ = 300516000.

The previous prime is 565250617. The next prime is 565250639. The reversal of 565250625 is 526052565.

The square root of 565250625 is 23775.

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

565250625 is a `hidden beast` number, since 5 + 6 + 5 + 25 + 0 + 625 = 666.

It can be written as a sum of positive squares in 7 ways, for example, as 564110001 + 1140624 = 23751^2 + 1068^2 .

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

It is not a de Polignac number, because 565250625 - 23 = 565250617 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 565250625.

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, 1782967 + ... + 1783283.

Almost surely, 2565250625 is an apocalyptic number.

565250625 is the 23775-th square number.

565250625 is the 11888-th centered octagonal number.

It is an amenable number.

565250625 is a deficient number, since it is larger than the sum of its proper divisors (458242846).

565250625 is an frugal number, since it uses more digits than its factorization.

565250625 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 660 (or 325 counting only the distinct ones).

The product of its (nonzero) digits is 90000, while the sum is 36.

The cubic root of 565250625 is about 826.8251602939.

Multiplying 565250625 by its sum of digits (36), we get a square (20349022500 = 1426502).

Multiplying 565250625 by its product of nonzero digits (90000), we get a square (50872556250000 = 71325002).

The spelling of 565250625 in words is "five hundred sixty-five million, two hundred fifty thousand, six hundred twenty-five".

Divisors: 1 3 5 9 15 25 45 75 125 225 317 375 625 951 1125 1585 1875 2853 4755 5625 7925 14265 23775 39625 71325 100489 118875 198125 301467 356625 502445 594375 904401 1507335 1783125 2512225 4522005 7536675 12561125 22610025 37683375 62805625 113050125 188416875 565250625