5258319 has 16 divisors (see below), whose sum is σ = 7749120. Its totient is φ = 3144960.

The previous prime is 5258317. The next prime is 5258327. The reversal of 5258319 is 9138525.

It is not a de Polignac number, because 5258319 - 2¹ = 5258317 is a prime.

It is a super-2 number, since 2×5258319² = 55299837411522, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (33).

5258319 is a lucky number.

It is a self number, because there is not a number n which added to its sum of digits gives 5258319.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5258317) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1599 + ... + 3615.

It is an arithmetic number, because the mean of its divisors is an integer number (484320).

Almost surely, 2^5258319 is an apocalyptic number.

5258319 is a deficient number, since it is larger than the sum of its proper divisors (2490801).

5258319 is a wasteful number, since it uses less digits than its factorization.

5258319 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2110.

The product of its digits is 10800, while the sum is 33.

The square root of 5258319 is about 2293.1024835362. The cubic root of 5258319 is about 173.8930840074.

The spelling of 5258319 in words is "five million, two hundred fifty-eight thousand, three hundred nineteen".