Search a number
-
+
1265625 = 3456
BaseRepresentation
bin100110100111111011001
32101022010000
410310333121
5311000000
643043213
713520604
oct4647731
92338100
101265625
11794979
12510509
133540ba
1424d33b
151a0000
hex134fd9

1265625 has 35 divisors (see below), whose sum is σ = 2363251. Its totient is φ = 675000.

The previous prime is 1265623. The next prime is 1265639. The reversal of 1265625 is 5265621.

Multipling 1265625 by its product of digits (3600), we get a square (4556250000 = 675002).

The square root of 1265625 is 1125.

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

1265625 is a `hidden beast` number, since 1 + 2 + 656 + 2 + 5 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 1108809 + 156816 = 1053^2 + 396^2 .

It is an ABA number since it can be written as A⋅BA, here for A=3, B=75.

It is not a de Polignac number, because 1265625 - 21 = 1265623 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Duffinian number.

Its product of digits (3600) is a multiple of the sum of its prime divisors (8).

It is a nialpdrome in base 5.

It is not an unprimeable number, because it can be changed into a prime (1265623) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 34 ways as a sum of consecutive naturals, for example, 253123 + ... + 253127.

21265625 is an apocalyptic number.

1265625 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

1265625 is the 1125-th square number.

1265625 is the 563-rd centered octagonal number.

It is an amenable number.

1265625 is a deficient number, since it is larger than the sum of its proper divisors (1097626).

1265625 is an frugal number, since it uses more digits than its factorization.

1265625 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42 (or 8 counting only the distinct ones).

The product of its digits is 3600, while the sum is 27.

The cubic root of 1265625 is about 108.1687177731.

The spelling of 1265625 in words is "one million, two hundred sixty-five thousand, six hundred twenty-five".

Divisors: 1 3 5 9 15 25 27 45 75 81 125 135 225 375 405 625 675 1125 1875 2025 3125 3375 5625 9375 10125 15625 16875 28125 46875 50625 84375 140625 253125 421875 1265625