51579528 has 256 divisors, whose sum is σ = 183859200. Its totient is φ = 11612160.

The previous prime is 51579523. The next prime is 51579529. The reversal of 51579528 is 82597515.

It is a Harshad number since it is a multiple of its sum of digits (42).

Its product of digits (126000) is a multiple of the sum of its prime divisors (168).

It is a self number, because there is not a number n which added to its sum of digits gives 51579528.

It is not an unprimeable number, because it can be changed into a prime (51579523) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 456400 + ... + 456512.

It is an arithmetic number, because the mean of its divisors is an integer number (718200).

Almost surely, 2^51579528 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 51579528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91929600).

51579528 is an abundant number, since it is smaller than the sum of its proper divisors (132279672).

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

51579528 is a wasteful number, since it uses less digits than its factorization.

51579528 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 172 (or 168 counting only the distinct ones).

The product of its digits is 126000, while the sum is 42.

The square root of 51579528 is about 7181.8888880294. Note that the first 6 decimals coincide. The cubic root of 51579528 is about 372.2423556579.

The spelling of 51579528 in words is "fifty-one million, five hundred seventy-nine thousand, five hundred twenty-eight".