51063936 has 192 divisors, whose sum is σ = 171474240. Its totient is φ = 13178880.

The previous prime is 51063917. The next prime is 51063977. The reversal of 51063936 is 63936015.

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

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a junction number, because it is equal to n+sod(n) for n = 51063897 and 51063906.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 325170 + ... + 325326.

It is an arithmetic number, because the mean of its divisors is an integer number (893095).

Almost surely, 2^51063936 is an apocalyptic number.

51063936 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 51063936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85737120).

51063936 is an abundant number, since it is smaller than the sum of its proper divisors (120410304).

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

51063936 is a wasteful number, since it uses less digits than its factorization.

51063936 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 203 (or 180 counting only the distinct ones).

The product of its (nonzero) digits is 14580, while the sum is 33.

The square root of 51063936 is about 7145.9034418329. The cubic root of 51063936 is about 370.9978809488.

It can be divided in two parts, 510 and 63936, that added together give a palindrome (64446).

The spelling of 51063936 in words is "fifty-one million, sixty-three thousand, nine hundred thirty-six".