42975825804025 has 45 divisors (see below), whose sum is σ = 55228662131611. Its totient is φ = 33173828048480.

The previous prime is 42975825804017. The next prime is 42975825804097. The reversal of 42975825804025 is 52040852857924.

The square root of 42975825804025 is 6555595.

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

It can be written as a sum of positive squares in 7 ways, for example, as 25466990669289 + 17508835134736 = 5046483^2 + 4184356^2 .

It is not a de Polignac number, because 42975825804025 - 2³ = 42975825804017 is a prime.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 27566276196 + ... + 27566277754.

Almost surely, 2^{42975825804025} is an apocalyptic number.

42975825804025 is the 6555595-th square number.

42975825804025 is the 3277798-th centered octagonal number.

It is an amenable number.

42975825804025 is a deficient number, since it is larger than the sum of its proper divisors (12252836327586).

42975825804025 is an frugal number, since it uses more digits than its factorization.

42975825804025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3244 (or 1593 counting only the distinct ones).

The product of its (nonzero) digits is 64512000, while the sum is 61.

The spelling of 42975825804025 in words is "forty-two trillion, nine hundred seventy-five billion, eight hundred twenty-five million, eight hundred four thousand, twenty-five".