51633736 has 64 divisors (see below), whose sum is σ = 121968000. Its totient is φ = 19906560.

The previous prime is 51633733. The next prime is 51633737. The reversal of 51633736 is 63733615.

51633736 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (51633731) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 66760 + ... + 67528.

It is an arithmetic number, because the mean of its divisors is an integer number (1905750).

Almost surely, 2^51633736 is an apocalyptic number.

51633736 is a gapful number since it is divisible by the number (56) 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 51633736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60984000).

51633736 is an abundant number, since it is smaller than the sum of its proper divisors (70334264).

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

51633736 is a wasteful number, since it uses less digits than its factorization.

51633736 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 902 (or 898 counting only the distinct ones).

The product of its digits is 34020, while the sum is 34.

The square root of 51633736 is about 7185.6618345146. The cubic root of 51633736 is about 372.3727138936.

The spelling of 51633736 in words is "fifty-one million, six hundred thirty-three thousand, seven hundred thirty-six".