51648520 has 128 divisors (see below), whose sum is σ = 148780800. Its totient is φ = 15667200.

The previous prime is 51648497. The next prime is 51648529. The reversal of 51648520 is 2584615.

It is not an unprimeable number, because it can be changed into a prime (51648529) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 126076 + ... + 126484.

It is an arithmetic number, because the mean of its divisors is an integer number (1162350).

Almost surely, 2^51648520 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 51648520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74390400).

51648520 is an abundant number, since it is smaller than the sum of its proper divisors (97132280).

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

51648520 is a wasteful number, since it uses less digits than its factorization.

51648520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 479 (or 475 counting only the distinct ones).

The product of its (nonzero) digits is 9600, while the sum is 31.

The square root of 51648520 is about 7186.6904761510. The cubic root of 51648520 is about 372.4082503038.

The spelling of 51648520 in words is "fifty-one million, six hundred forty-eight thousand, five hundred twenty".