55577025 has 81 divisors (see below), whose sum is σ = 117450723. Its totient is φ = 25048800.

The previous prime is 55576999. The next prime is 55577047. The reversal of 55577025 is 52077555.

The square root of 55577025 is 7455.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 20007729 + 35569296 = 4473^2 + 5964^2 .

It is not a de Polignac number, because 55577025 - 2¹¹ = 55574977 is a prime.

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 782740 + ... + 782810.

Almost surely, 2^55577025 is an apocalyptic number.

55577025 is the 7455-th square number.

55577025 is the 3728-th centered octagonal number.

It is an amenable number.

55577025 is an abundant number, since it is smaller than the sum of its proper divisors (61873698).

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

55577025 is a wasteful number, since it uses less digits than its factorization.

55577025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 172 (or 86 counting only the distinct ones).

The product of its (nonzero) digits is 61250, while the sum is 36.

The cubic root of 55577025 is about 381.6205606118.

Multiplying 55577025 by its sum of digits (36), we get a square (2000772900 = 44730²).

The spelling of 55577025 in words is "fifty-five million, five hundred seventy-seven thousand, twenty-five".