42277528225 has 81 divisors (see below), whose sum is σ = 58064577931. Its totient is φ = 30529715200.

The previous prime is 42277528207. The next prime is 42277528231. The reversal of 42277528225 is 52282577224.

The square root of 42277528225 is 205615.

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

It can be written as a sum of positive squares in 13 ways, for example, as 36609847569 + 5667680656 = 191337^2 + 75284^2 .

It is not a de Polignac number, because 42277528225 - 2⁵ = 42277528193 is a prime.

It is a Duffinian 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, 716568246 + ... + 716568304.

Almost surely, 2^42277528225 is an apocalyptic number.

42277528225 is the 205615-th square number.

42277528225 is the 102808-th centered octagonal number.

It is an amenable number.

42277528225 is a deficient number, since it is larger than the sum of its proper divisors (15787049706).

42277528225 is an equidigital number, since it uses as much as digits as its factorization.

42277528225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 244 (or 122 counting only the distinct ones).

The product of its digits is 1254400, while the sum is 46.

The spelling of 42277528225 in words is "forty-two billion, two hundred seventy-seven million, five hundred twenty-eight thousand, two hundred twenty-five".