51330000 has 200 divisors, whose sum is σ = 174319200. Its totient is φ = 12992000.

The previous prime is 51329983. The next prime is 51330007. The reversal of 51330000 is 3315.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (200).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (51330007) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 869971 + ... + 870029.

It is an arithmetic number, because the mean of its divisors is an integer number (871596).

Almost surely, 2^51330000 is an apocalyptic number.

51330000 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 51330000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87159600).

51330000 is an abundant number, since it is smaller than the sum of its proper divisors (122989200).

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

51330000 is a wasteful number, since it uses less digits than its factorization.

51330000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 119 (or 98 counting only the distinct ones).

The product of its (nonzero) digits is 45, while the sum is 12.

The square root of 51330000 is about 7164.4957952392. The cubic root of 51330000 is about 371.6411153202.

Adding to 51330000 its reverse (3315), we get a palindrome (51333315).

The spelling of 51330000 in words is "fifty-one million, three hundred thirty thousand".