5258565 has 48 divisors (see below), whose sum is σ = 10024560. Its totient is φ = 2534400.

The previous prime is 5258557. The next prime is 5258567. The reversal of 5258565 is 5658525.

It can be written as a sum of positive squares in 8 ways, for example, as 101124 + 5157441 = 318^2 + 2271^2 .

It is not a de Polignac number, because 5258565 - 2³ = 5258557 is a prime.

It is an alternating number because its digits alternate between odd and even.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5258567) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 52015 + ... + 52115.

It is an arithmetic number, because the mean of its divisors is an integer number (208845).

Almost surely, 2^5258565 is an apocalyptic number.

It is an amenable number.

5258565 is a deficient number, since it is larger than the sum of its proper divisors (4765995).

5258565 is a wasteful number, since it uses less digits than its factorization.

5258565 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 214 (or 211 counting only the distinct ones).

The product of its digits is 60000, while the sum is 36.

The square root of 5258565 is about 2293.1561220292. The cubic root of 5258565 is about 173.8957957125.

It can be divided in two parts, 52585 and 65, that added together give a triangular number (52650 = T₃₂₄).

The spelling of 5258565 in words is "five million, two hundred fifty-eight thousand, five hundred sixty-five".