51050361600 has 324 divisors, whose sum is σ = 208592006896. Its totient is φ = 11668561920.

The previous prime is 51050361541. The next prime is 51050361601. The reversal of 51050361600 is 616305015.

It is a happy number.

51050361600 is a `hidden beast` number, since 5 + 1 + 0 + 50 + 3 + 6 + 1 + 600 = 666.

It is a super-2 number, since 2×51050361600² (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (51050361601) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 339894 + ... + 466506.

Almost surely, 2^51050361600 is an apocalyptic number.

51050361600 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 51050361600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (104296003448).

51050361600 is an abundant number, since it is smaller than the sum of its proper divisors (157541645296).

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

51050361600 is a wasteful number, since it uses less digits than its factorization.

51050361600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 126652 (or 126630 counting only the distinct ones).

The product of its (nonzero) digits is 2700, while the sum is 27.

Adding to 51050361600 its reverse (616305015), we get a palindrome (51666666615).

The spelling of 51050361600 in words is "fifty-one billion, fifty million, three hundred sixty-one thousand, six hundred".