5182590 has 128 divisors (see below), whose sum is σ = 15759360. Its totient is φ = 1064448.

The previous prime is 5182571. The next prime is 5182601. The reversal of 5182590 is 952815.

5182590 is a nontrivial binomial coefficient, being equal to C(3220, 2).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an Ulam number.

It is a congruent number.

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 140052 + ... + 140088.

It is an arithmetic number, because the mean of its divisors is an integer number (123120).

Almost surely, 2^5182590 is an apocalyptic number.

5182590 is the 3219-th triangular number and also the 1610-th hexagonal number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5182590, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7879680).

5182590 is an abundant number, since it is smaller than the sum of its proper divisors (10576770).

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

5182590 is a wasteful number, since it uses less digits than its factorization.

5182590 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 106.

The product of its (nonzero) digits is 3600, while the sum is 30.

The square root of 5182590 is about 2276.5302545760. The cubic root of 5182590 is about 173.0542558729.

It can be divided in two parts, 51825 and 90, that added together give a palindrome (51915).

The spelling of 5182590 in words is "five million, one hundred eighty-two thousand, five hundred ninety".