5133312 has 66 divisors (see below), whose sum is σ = 14848938. Its totient is φ = 1708032.

The previous prime is 5133311. The next prime is 5133313. The reversal of 5133312 is 2133315.

It is an interprime number because it is at equal distance from previous prime (5133311) and next prime (5133313).

It can be written as a sum of positive squares in only one way, i.e., 3326976 + 1806336 = 1824^2 + 1344^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5133311) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 8938 + ... + 9494.

Almost surely, 2^5133312 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 5133312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7424469).

5133312 is an abundant number, since it is smaller than the sum of its proper divisors (9715626).

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

5133312 is a wasteful number, since it uses less digits than its factorization.

5133312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 583 (or 562 counting only the distinct ones).

The product of its digits is 270, while the sum is 18.

The square root of 5133312 is about 2265.6813544715. The cubic root of 5133312 is about 172.5040200701.

Adding to 5133312 its reverse (2133315), we get a palindrome (7266627).

It can be divided in two parts, 5133 and 312, that added together give a palindrome (5445).

The spelling of 5133312 in words is "five million, one hundred thirty-three thousand, three hundred twelve".