51300600 has 96 divisors (see below), whose sum is σ = 171291120. Its totient is φ = 12625920.

The previous prime is 51300593. The next prime is 51300607. The reversal of 51300600 is 600315.

51300600 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (51300593) and next prime (51300607).

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 51300600.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (51300607) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4512 + ... + 11088.

Almost surely, 2^51300600 is an apocalyptic number.

51300600 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 51300600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85645560).

51300600 is an abundant number, since it is smaller than the sum of its proper divisors (119990520).

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

51300600 is a wasteful number, since it uses less digits than its factorization.

51300600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6609 (or 6600 counting only the distinct ones).

The product of its (nonzero) digits is 90, while the sum is 15.

The square root of 51300600 is about 7162.4437170564. The cubic root of 51300600 is about 371.5701474943.

Adding to 51300600 its reverse (600315), we get a palindrome (51900915).

The spelling of 51300600 in words is "fifty-one million, three hundred thousand, six hundred".