51135320 has 64 divisors (see below), whose sum is σ = 122925600. Its totient is φ = 19077120.

The previous prime is 51135319. The next prime is 51135347. The reversal of 51135320 is 2353115.

It is a super-3 number, since 3×51135320³ (a number of 24 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 51135292 and 51135301.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 94250 + ... + 94790.

Almost surely, 2^51135320 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 51135320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61462800).

51135320 is an abundant number, since it is smaller than the sum of its proper divisors (71790280).

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

51135320 is a wasteful number, since it uses less digits than its factorization.

51135320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 708 (or 704 counting only the distinct ones).

The product of its (nonzero) digits is 450, while the sum is 20.

The square root of 51135320 is about 7150.8964472995. The cubic root of 51135320 is about 371.1706772752.

Adding to 51135320 its reverse (2353115), we get a palindrome (53488435).

The spelling of 51135320 in words is "fifty-one million, one hundred thirty-five thousand, three hundred twenty".