42265192225 has 9 divisors (see below), whose sum is σ = 52410113017. Its totient is φ = 33811331440.

The previous prime is 42265192217. The next prime is 42265192253. The reversal of 42265192225 is 52229156224.

The square root of 42265192225 is 205585.

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

It can be written as a sum of positive squares in 4 ways, for example, as 118744609 + 42146447616 = 10897^2 + 205296^2 .

It is not a de Polignac number, because 42265192225 - 2³ = 42265192217 is a prime.

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 1007367 + ... + 1048483.

Almost surely, 2^42265192225 is an apocalyptic number.

42265192225 is the 205585-th square number.

42265192225 is the 102793-rd centered octagonal number.

It is an amenable number.

42265192225 is a deficient number, since it is larger than the sum of its proper divisors (10144920792).

42265192225 is an frugal number, since it uses more digits than its factorization.

42265192225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 82244 (or 41122 counting only the distinct ones).

The product of its digits is 172800, while the sum is 40.

The spelling of 42265192225 in words is "forty-two billion, two hundred sixty-five million, one hundred ninety-two thousand, two hundred twenty-five".