8032434564025 has 27 divisors (see below), whose sum is σ = 10580895846381. Its totient is φ = 6047769344640.

The previous prime is 8032434563987. The next prime is 8032434564103. The reversal of 8032434564025 is 5204654342308.

The square root of 8032434564025 is 2834155.

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 187886704681 + 7844547859344 = 433459^2 + 2800812^2 .

It is not a de Polignac number, because 8032434564025 - 2⁹ = 8032434563513 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 (23) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 240886504 + ... + 240919846.

Almost surely, 2^{8032434564025} is an apocalyptic number.

8032434564025 is a gapful number since it is divisible by the number (85) formed by its first and last digit.

8032434564025 is the 2834155-th square number.

8032434564025 is the 1417078-th centered octagonal number.

It is an amenable number.

8032434564025 is a deficient number, since it is larger than the sum of its proper divisors (2548461282356).

8032434564025 is an frugal number, since it uses more digits than its factorization.

8032434564025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 66730 (or 33365 counting only the distinct ones).

The product of its (nonzero) digits is 2764800, while the sum is 46.

The spelling of 8032434564025 in words is "eight trillion, thirty-two billion, four hundred thirty-four million, five hundred sixty-four thousand, twenty-five".