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580087225 = 5248172
BaseRepresentation
bin100010100100110…
…110110110111001
31111102112111002001
4202210312312321
52142000242400
6133321141001
720242442254
oct4244666671
91442474061
10580087225
11278498133
1214232a761
13932460a3
145708209b
1535dd7a6a
hex22936db9

580087225 has 9 divisors (see below), whose sum is σ = 719457517. Its totient is φ = 463973440.

The previous prime is 580087223. The next prime is 580087231. The reversal of 580087225 is 522780085.

The square root of 580087225 is 24085.

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

It can be written as a sum of positive squares in 4 ways, for example, as 196084009 + 384003216 = 14003^2 + 19596^2 .

It is not a de Polignac number, because 580087225 - 21 = 580087223 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (580087223) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 118017 + ... + 122833.

Almost surely, 2580087225 is an apocalyptic number.

580087225 is the 24085-th square number.

580087225 is the 12043-rd centered octagonal number.

It is an amenable number.

580087225 is a deficient number, since it is larger than the sum of its proper divisors (139370292).

580087225 is an frugal number, since it uses more digits than its factorization.

580087225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9644 (or 4822 counting only the distinct ones).

The product of its (nonzero) digits is 44800, while the sum is 37.

The cubic root of 580087225 is about 833.9968950383.

It can be divided in two parts, 5800 and 87225, that added together give a square (93025 = 3052).

The spelling of 580087225 in words is "five hundred eighty million, eighty-seven thousand, two hundred twenty-five".

Divisors: 1 5 25 4817 24085 120425 23203489 116017445 580087225