51081600 has 192 divisors, whose sum is σ = 178716240. Its totient is φ = 12779520.

The previous prime is 51081599. The next prime is 51081607. The reversal of 51081600 is 618015.

It is a tau number, because it is divible by the number of its divisors (192).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (51081607) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 163044 + ... + 163356.

Almost surely, 2^51081600 is an apocalyptic number.

51081600 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 51081600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89358120).

51081600 is an abundant number, since it is smaller than the sum of its proper divisors (127634640).

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

51081600 is a wasteful number, since it uses less digits than its factorization.

51081600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 357 (or 340 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 21.

The square root of 51081600 is about 7147.1392878550. The cubic root of 51081600 is about 371.0406544571.

Adding to 51081600 its reverse (618015), we get a palindrome (51699615).

It can be divided in two parts, 51081 and 600, that added together give a triangular number (51681 = T₃₂₁).

The spelling of 51081600 in words is "fifty-one million, eighty-one thousand, six hundred".