51505580 has 144 divisors (see below), whose sum is σ = 140286720. Its totient is φ = 15510528.

The previous prime is 51505549. The next prime is 51505603. The reversal of 51505580 is 8550515.

51505580 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×51505580³ (a number of 24 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

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 47 ways as a sum of consecutive naturals, for example, 768707 + ... + 768773.

Almost surely, 2^51505580 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 51505580, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70143360).

51505580 is an abundant number, since it is smaller than the sum of its proper divisors (88781140).

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

51505580 is a wasteful number, since it uses less digits than its factorization.

51505580 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 136 (or 117 counting only the distinct ones).

The product of its (nonzero) digits is 5000, while the sum is 29.

The square root of 51505580 is about 7176.7388136953. The cubic root of 51505580 is about 372.0643797313.

The spelling of 51505580 in words is "fifty-one million, five hundred five thousand, five hundred eighty".