51605577 has 24 divisors (see below), whose sum is σ = 80146560. Its totient is φ = 31894560.

The previous prime is 51605551. The next prime is 51605641. The reversal of 51605577 is 77550615.

It is not a de Polignac number, because 51605577 - 2⁸ = 51605321 is a prime.

It is not an unprimeable number, because it can be changed into a prime (51605527) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4827 + ... + 11247.

It is an arithmetic number, because the mean of its divisors is an integer number (3339440).

Almost surely, 2^51605577 is an apocalyptic number.

51605577 is a gapful number since it is divisible by the number (57) formed by its first and last digit.

It is an amenable number.

51605577 is a deficient number, since it is larger than the sum of its proper divisors (28540983).

51605577 is a wasteful number, since it uses less digits than its factorization.

51605577 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6493 (or 6490 counting only the distinct ones).

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

The square root of 51605577 is about 7183.7021792388. The cubic root of 51605577 is about 372.3050091280.

The spelling of 51605577 in words is "fifty-one million, six hundred five thousand, five hundred seventy-seven".