51963024 has 80 divisors (see below), whose sum is σ = 142490880. Its totient is φ = 16272000.

The previous prime is 51963019. The next prime is 51963047. The reversal of 51963024 is 42036915.

It is a junction number, because it is equal to n+sod(n) for n = 51962982 and 51963000.

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, 206899 + ... + 207149.

It is an arithmetic number, because the mean of its divisors is an integer number (1781136).

Almost surely, 2^51963024 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 51963024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71245440).

51963024 is an abundant number, since it is smaller than the sum of its proper divisors (90527856).

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

51963024 is a wasteful number, since it uses less digits than its factorization.

51963024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 508 (or 502 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 30.

The square root of 51963024 is about 7208.5382706898. The cubic root of 51963024 is about 373.1626246188.

Adding to 51963024 its reverse (42036915), we get a palindrome (93999939).

The spelling of 51963024 in words is "fifty-one million, nine hundred sixty-three thousand, twenty-four".