5313600 has 210 divisors, whose sum is σ = 20007834. Its totient is φ = 1382400.

The previous prime is 5313551. The next prime is 5313601. The reversal of 5313600 is 63135.

5313600 is a `hidden beast` number, since 53 + 13 + 600 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 5184 + 5308416 = 72^2 + 2304^2 .

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

It is an Ulam number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5313601) by changing a digit.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 129580 + ... + 129620.

Almost surely, 2^5313600 is an apocalyptic number.

5313600 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5313600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10003917).

5313600 is an abundant number, since it is smaller than the sum of its proper divisors (14694234).

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

5313600 is a wasteful number, since it uses less digits than its factorization.

5313600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 75 (or 51 counting only the distinct ones).

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

The square root of 5313600 is about 2305.1247254758. The cubic root of 5313600 is about 174.5003434557.

Adding to 5313600 its reverse (63135), we get a palindrome (5376735).

The spelling of 5313600 in words is "five million, three hundred thirteen thousand, six hundred".