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561125 = 53672
BaseRepresentation
bin10001000111111100101
31001111201102
42020333211
5120424000
620005445
74524635
oct2107745
91044642
10561125
11353644
12230885
13168536
141086c5
15b13d5
hex88fe5

561125 has 12 divisors (see below), whose sum is σ = 710892. Its totient is φ = 442200.

The previous prime is 561109. The next prime is 561161. The reversal of 561125 is 521165.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 2 ways, for example, as 17956 + 543169 = 134^2 + 737^2 .

It is not a de Polignac number, because 561125 - 24 = 561109 is a prime.

It is a super-2 number, since 2×5611252 = 629722531250, which contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 561097 and 561106.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 8342 + ... + 8408.

It is an arithmetic number, because the mean of its divisors is an integer number (59241).

2561125 is an apocalyptic number.

It is an amenable number.

561125 is a deficient number, since it is larger than the sum of its proper divisors (149767).

561125 is an frugal number, since it uses more digits than its factorization.

561125 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 149 (or 72 counting only the distinct ones).

The product of its digits is 300, while the sum is 20.

The square root of 561125 is about 749.0827724624. The cubic root of 561125 is about 82.4808648612.

Multiplying 561125 by its sum of digits (20), we get a square (11222500 = 33502).

It can be divided in two parts, 561 and 125, that multiplied together give a triangular number (70125 = T374).

The spelling of 561125 in words is "five hundred sixty-one thousand, one hundred twenty-five".

Divisors: 1 5 25 67 125 335 1675 4489 8375 22445 112225 561125