51813648 has 160 divisors (see below), whose sum is σ = 158561280. Its totient is φ = 16174080.

The previous prime is 51813647. The next prime is 51813677. The reversal of 51813648 is 84631815.

51813648 is a `hidden beast` number, since 5 + 1 + 8 + 1 + 3 + 648 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (51813647) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 709740 + ... + 709812.

It is an arithmetic number, because the mean of its divisors is an integer number (991008).

Almost surely, 2^51813648 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 51813648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79280640).

51813648 is an abundant number, since it is smaller than the sum of its proper divisors (106747632).

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

51813648 is a wasteful number, since it uses less digits than its factorization.

51813648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 174 (or 162 counting only the distinct ones).

The product of its digits is 23040, while the sum is 36.

The square root of 51813648 is about 7198.1697673784. The cubic root of 51813648 is about 372.8047096116.

The spelling of 51813648 in words is "fifty-one million, eight hundred thirteen thousand, six hundred forty-eight".