5133456 has 100 divisors (see below), whose sum is σ = 15799212. Its totient is φ = 1603584.

The previous prime is 5133451. The next prime is 5133461. The reversal of 5133456 is 6543315.

It is an interprime number because it is at equal distance from previous prime (5133451) and next prime (5133461).

It can be written as a sum of positive squares in 2 ways, for example, as 2509056 + 2624400 = 1584^2 + 1620^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

Its product of digits (5400) is a multiple of the sum of its prime factors (270).

It is not an unprimeable number, because it can be changed into a prime (5133451) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 21916 + ... + 22148.

Almost surely, 2^5133456 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 5133456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7899606).

5133456 is an abundant number, since it is smaller than the sum of its proper divisors (10665756).

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

5133456 is a wasteful number, since it uses less digits than its factorization.

5133456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 270 (or 255 counting only the distinct ones).

The product of its digits is 5400, while the sum is 27.

The square root of 5133456 is about 2265.7131327686. The cubic root of 5133456 is about 172.5056330864.

It can be divided in two parts, 513 and 3456, that added together give a square (3969 = 63²).

The spelling of 5133456 in words is "five million, one hundred thirty-three thousand, four hundred fifty-six".