51135600 has 120 divisors (see below), whose sum is σ = 167782912. Its totient is φ = 13305600.

The previous prime is 51135599. The next prime is 51135607. The reversal of 51135600 is 653115.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (120).

It is a super-2 number, since 2×51135600² = 5229699174720000, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (51135607) 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, 51105 + ... + 52095.

Almost surely, 2^51135600 is an apocalyptic number.

51135600 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 51135600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83891456).

51135600 is an abundant number, since it is smaller than the sum of its proper divisors (116647312).

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

51135600 is a wasteful number, since it uses less digits than its factorization.

51135600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1055 (or 1044 counting only the distinct ones).

The product of its (nonzero) digits is 450, while the sum is 21.

The square root of 51135600 is about 7150.9160252376. The cubic root of 51135600 is about 371.1713547430.

Adding to 51135600 its reverse (653115), we get a palindrome (51788715).

The spelling of 51135600 in words is "fifty-one million, one hundred thirty-five thousand, six hundred".