5082588 has 96 divisors (see below), whose sum is σ = 15429120. Its totient is φ = 1434672.

The previous prime is 5082587. The next prime is 5082589. The reversal of 5082588 is 8852805.

It is an interprime number because it is at equal distance from previous prime (5082587) and next prime (5082589).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5082587) 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 31 ways as a sum of consecutive naturals, for example, 61195 + ... + 61277.

It is an arithmetic number, because the mean of its divisors is an integer number (160720).

Almost surely, 2^5082588 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5082588, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7714560).

5082588 is an abundant number, since it is smaller than the sum of its proper divisors (10346532).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

5082588 is an equidigital number, since it uses as much as digits as its factorization.

5082588 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 115 (or 95 counting only the distinct ones).

The product of its (nonzero) digits is 25600, while the sum is 36.

The square root of 5082588 is about 2254.4595804760. The cubic root of 5082588 is about 171.9339479566.

The spelling of 5082588 in words is "five million, eighty-two thousand, five hundred eighty-eight".