5121600 has 168 divisors, whose sum is σ = 18519648. Its totient is φ = 1228800.

The previous prime is 5121593. The next prime is 5121631. The reversal of 5121600 is 61215.

5121600 is a nontrivial binomial coefficient, being equal to C(3201, 2).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 5121600.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 52752 + ... + 52848.

It is an arithmetic number, because the mean of its divisors is an integer number (110236).

Almost surely, 2^5121600 is an apocalyptic number.

5121600 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

5121600 is the 3200-th triangular number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5121600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9259824).

5121600 is an abundant number, since it is smaller than the sum of its proper divisors (13398048).

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

5121600 is a wasteful number, since it uses less digits than its factorization.

5121600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 133 (or 118 counting only the distinct ones).

The product of its (nonzero) digits is 60, while the sum is 15.

The square root of 5121600 is about 2263.0952255705. The cubic root of 5121600 is about 172.3727269551.

Adding to 5121600 its reverse (61215), we get a palindrome (5182815).

It can be divided in two parts, 512 and 1600, that added together give a palindrome (2112).

The spelling of 5121600 in words is "five million, one hundred twenty-one thousand, six hundred".