55577601 has 24 divisors (see below), whose sum is σ = 84213480. Its totient is φ = 35271936.

The previous prime is 55577579. The next prime is 55577617. The reversal of 55577601 is 10677555.

It can be written as a sum of positive squares in 4 ways, for example, as 29322225 + 26255376 = 5415^2 + 5124^2 .

It is not a de Polignac number, because 55577601 - 2⁵ = 55577569 is a prime.

It is not an unprimeable number, because it can be changed into a prime (55577651) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 17595 + ... + 20511.

It is an arithmetic number, because the mean of its divisors is an integer number (3508895).

Almost surely, 2^55577601 is an apocalyptic number.

It is an amenable number.

55577601 is a deficient number, since it is larger than the sum of its proper divisors (28635879).

55577601 is a wasteful number, since it uses less digits than its factorization.

55577601 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3025 (or 3022 counting only the distinct ones).

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

The square root of 55577601 is about 7455.0386316907. The cubic root of 55577601 is about 381.6218789784.

The spelling of 55577601 in words is "fifty-five million, five hundred seventy-seven thousand, six hundred one".