51321600 has 378 divisors, whose sum is σ = 207770556. Its totient is φ = 12441600.

The previous prime is 51321581. The next prime is 51321601. The reversal of 51321600 is 612315.

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

It is not an unprimeable number, because it can be changed into a prime (51321601) by changing a digit.

It is a polite number, since it can be written in 41 ways as a sum of consecutive naturals, for example, 4665595 + ... + 4665605.

Almost surely, 2^51321600 is an apocalyptic number.

51321600 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 51321600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (103885278).

51321600 is an abundant number, since it is smaller than the sum of its proper divisors (156448956).

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

51321600 is an equidigital number, since it uses as much as digits as its factorization.

51321600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 55 (or 21 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 18.

The square root of 51321600 is about 7163.9095471677. The cubic root of 51321600 is about 371.6208415643.

Adding to 51321600 its reverse (612315), we get a palindrome (51933915).

The spelling of 51321600 in words is "fifty-one million, three hundred twenty-one thousand, six hundred".