5113600 has 108 divisors (see below), whose sum is σ = 13686624. Its totient is φ = 1884160.

The previous prime is 5113597. The next prime is 5113601. The reversal of 5113600 is 63115.

It is a super-2 number, since 2×5113600² = 52297809920000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5113601) 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 11 ways as a sum of consecutive naturals, for example, 108777 + ... + 108823.

It is an arithmetic number, because the mean of its divisors is an integer number (126728).

Almost surely, 2^5113600 is an apocalyptic number.

5113600 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 5113600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6843312).

5113600 is an abundant number, since it is smaller than the sum of its proper divisors (8573024).

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

5113600 is a wasteful number, since it uses less digits than its factorization.

5113600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 90 (or 71 counting only the distinct ones).

The product of its (nonzero) digits is 90, while the sum is 16.

The square root of 5113600 is about 2261.3270440164. The cubic root of 5113600 is about 172.2829307694.

5113600 divided by its sum of digits (16) gives a triangular number (319600 = T₇₉₉).

Adding to 5113600 its reverse (63115), we get a palindrome (5176715).

The spelling of 5113600 in words is "five million, one hundred thirteen thousand, six hundred".