6553313 has 12 divisors (see below), whose sum is σ = 7516908. Its totient is φ = 5690880.

The previous prime is 6553303. The next prime is 6553319. The reversal of 6553313 is 3133556.

It can be written as a sum of positive squares in 6 ways, for example, as 238144 + 6315169 = 488^2 + 2513^2 .

It is not a de Polignac number, because 6553313 - 2⁴ = 6553297 is a prime.

It is a super-2 number, since 2×6553313² = 85891822551938, which contains 22 as substring.

It is a Duffinian number.

It is a zygodrome in base 3.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6553319) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1733 + ... + 4013.

It is an arithmetic number, because the mean of its divisors is an integer number (626409).

Almost surely, 2^6553313 is an apocalyptic number.

It is an amenable number.

6553313 is a deficient number, since it is larger than the sum of its proper divisors (963595).

6553313 is a wasteful number, since it uses less digits than its factorization.

6553313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2324 (or 2311 counting only the distinct ones).

The product of its digits is 4050, while the sum is 26.

The square root of 6553313 is about 2559.9439446988. The cubic root of 6553313 is about 187.1344034574.

Adding to 6553313 its reverse (3133556), we get a palindrome (9686869).

It can be divided in two parts, 65533 and 13, that multiplied together give a square (851929 = 923²).

The spelling of 6553313 in words is "six million, five hundred fifty-three thousand, three hundred thirteen".