51506520 has 128 divisors (see below), whose sum is σ = 168315840. Its totient is φ = 12533760.

The previous prime is 51506503. The next prime is 51506569. The reversal of 51506520 is 2560515.

51506520 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 213600 + ... + 213840.

Almost surely, 2^51506520 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 51506520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84157920).

51506520 is an abundant number, since it is smaller than the sum of its proper divisors (116809320).

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

51506520 is a wasteful number, since it uses less digits than its factorization.

51506520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 405 (or 401 counting only the distinct ones).

The product of its (nonzero) digits is 1500, while the sum is 24.

The square root of 51506520 is about 7176.8043027520. The cubic root of 51506520 is about 372.0666431649.

The spelling of 51506520 in words is "fifty-one million, five hundred six thousand, five hundred twenty".