51633120 has 288 divisors, whose sum is σ = 205922304. Its totient is φ = 10644480.

The previous prime is 51633059. The next prime is 51633121. The reversal of 51633120 is 2133615.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (51633121) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 406497 + ... + 406623.

It is an arithmetic number, because the mean of its divisors is an integer number (715008).

Almost surely, 2^51633120 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 51633120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (102961152).

51633120 is an abundant number, since it is smaller than the sum of its proper divisors (154289184).

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

51633120 is a wasteful number, since it uses less digits than its factorization.

51633120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 174 (or 155 counting only the distinct ones).

The product of its (nonzero) digits is 540, while the sum is 21.

The square root of 51633120 is about 7185.6189712508. The cubic root of 51633120 is about 372.3712330627.

Adding to 51633120 its reverse (2133615), we get a palindrome (53766735).

The spelling of 51633120 in words is "fifty-one million, six hundred thirty-three thousand, one hundred twenty".