4561577566225 has 27 divisors (see below), whose sum is σ = 5677315847931. Its totient is φ = 3635789521200.

The previous prime is 4561577566213. The next prime is 4561577566243. The reversal of 4561577566225 is 5226657751654.

It is a happy number.

The square root of 4561577566225 is 2135785.

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., 1642167923841 + 2919409642384 = 1281471^2 + 1708628^2 .

It is not a de Polignac number, because 4561577566225 - 2¹⁷ = 4561577435153 is a prime.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 3705586360 + ... + 3705587590.

Almost surely, 2^{4561577566225} is an apocalyptic number.

4561577566225 is the 2135785-th square number.

4561577566225 is the 1067893-rd centered octagonal number.

It is an amenable number.

4561577566225 is a deficient number, since it is larger than the sum of its proper divisors (1115738281706).

4561577566225 is an frugal number, since it uses more digits than its factorization.

4561577566225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3166 (or 1583 counting only the distinct ones).

The product of its digits is 105840000, while the sum is 61.

The spelling of 4561577566225 in words is "four trillion, five hundred sixty-one billion, five hundred seventy-seven million, five hundred sixty-six thousand, two hundred twenty-five".