42574132225 has 27 divisors (see below), whose sum is σ = 54713557353. Its totient is φ = 32861737440.

The previous prime is 42574132213. The next prime is 42574132231. The reversal of 42574132225 is 52223147524.

The square root of 42574132225 is 206335.

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 585204481 + 41988927744 = 24191^2 + 204912^2 .

It is a de Polignac number, because none of the positive numbers 2^k-42574132225 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 (17) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 29917864 + ... + 29919286.

Almost surely, 2^42574132225 is an apocalyptic number.

42574132225 is the 206335-th square number.

42574132225 is the 103168-th centered octagonal number.

It is an amenable number.

42574132225 is a deficient number, since it is larger than the sum of its proper divisors (12139425128).

42574132225 is an frugal number, since it uses more digits than its factorization.

42574132225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2914 (or 1457 counting only the distinct ones).

The product of its digits is 134400, while the sum is 37.

Adding to 42574132225 its reverse (52223147524), we get a palindrome (94797279749).

The spelling of 42574132225 in words is "forty-two billion, five hundred seventy-four million, one hundred thirty-two thousand, two hundred twenty-five".