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580085325 = 32522578157
BaseRepresentation
bin100010100100110…
…110011001001101
31111102112101110200
4202210312121031
52142000212300
6133321124113
720242433601
oct4244663115
91442471420
10580085325
11278496766
12142329639
1393245271
1457081501
1535dd7200
hex2293664d

580085325 has 18 divisors (see below), whose sum is σ = 1038997674. Its totient is φ = 309378720.

The previous prime is 580085309. The next prime is 580085329. The reversal of 580085325 is 523580085.

580085325 is a `hidden beast` number, since 580 + 0 + 8 + 53 + 25 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 335241 + 579750084 = 579^2 + 24078^2 .

It is not a de Polignac number, because 580085325 - 24 = 580085309 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 580085325.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (580085329) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 1288854 + ... + 1289303.

It is an arithmetic number, because the mean of its divisors is an integer number (57722093).

Almost surely, 2580085325 is an apocalyptic number.

It is an amenable number.

580085325 is a deficient number, since it is larger than the sum of its proper divisors (458912349).

580085325 is a wasteful number, since it uses less digits than its factorization.

580085325 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2578173 (or 2578165 counting only the distinct ones).

The product of its (nonzero) digits is 48000, while the sum is 36.

The square root of 580085325 is about 24084.9605563306. The cubic root of 580085325 is about 833.9959844880.

It can be divided in two parts, 5800 and 85325, that added together give a cube (91125 = 453).

The spelling of 580085325 in words is "five hundred eighty million, eighty-five thousand, three hundred twenty-five".

Divisors: 1 3 5 9 15 25 45 75 225 2578157 7734471 12890785 23203413 38672355 64453925 116017065 193361775 580085325