51506577 has 16 divisors (see below), whose sum is σ = 76676160. Its totient is φ = 34171200.

The previous prime is 51506569. The next prime is 51506621. The reversal of 51506577 is 77560515.

51506577 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 51506577 - 2³ = 51506569 is a prime.

It is not an unprimeable number, because it can be changed into a prime (51506677) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 1177 + ... + 10217.

It is an arithmetic number, because the mean of its divisors is an integer number (4792260).

Almost surely, 2^51506577 is an apocalyptic number.

It is an amenable number.

51506577 is a deficient number, since it is larger than the sum of its proper divisors (25169583).

51506577 is a wasteful number, since it uses less digits than its factorization.

51506577 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9261 (or 9255 counting only the distinct ones).

The product of its (nonzero) digits is 36750, while the sum is 36.

The square root of 51506577 is about 7176.8082738777. The cubic root of 51506577 is about 372.0667804148.

The spelling of 51506577 in words is "fifty-one million, five hundred six thousand, five hundred seventy-seven".