51563648 has 32 divisors (see below), whose sum is σ = 103808460. Its totient is φ = 25509888.

The previous prime is 51563627. The next prime is 51563671. The reversal of 51563648 is 84636515.

It can be written as a sum of positive squares in 2 ways, for example, as 45050944 + 6512704 = 6712^2 + 2552^2 .

It is a tau number, because it is divible by the number of its divisors (32).

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 10340 + ... + 14492.

Almost surely, 2^51563648 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 51563648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51904230).

51563648 is an abundant number, since it is smaller than the sum of its proper divisors (52244812).

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

51563648 is an equidigital number, since it uses as much as digits as its factorization.

51563648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4264 (or 4252 counting only the distinct ones).

The product of its digits is 86400, while the sum is 38.

The square root of 51563648 is about 7180.7832441872. The cubic root of 51563648 is about 372.2041504786.

The spelling of 51563648 in words is "fifty-one million, five hundred sixty-three thousand, six hundred forty-eight".