32582055025 has 27 divisors (see below), whose sum is σ = 43764398211. Its totient is φ = 24051930240.

The previous prime is 32582055013. The next prime is 32582055061. The reversal of 32582055025 is 52055028523.

The square root of 32582055025 is 180505.

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 32057828209 + 524226816 = 179047^2 + 22896^2 .

It is not a de Polignac number, because 32582055025 - 2¹⁵ = 32582022257 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, 11731437 + ... + 11734213.

Almost surely, 2^32582055025 is an apocalyptic number.

32582055025 is the 180505-th square number.

32582055025 is the 90253-rd centered octagonal number.

It is an amenable number.

32582055025 is a deficient number, since it is larger than the sum of its proper divisors (11182343186).

32582055025 is an frugal number, since it uses more digits than its factorization.

32582055025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5590 (or 2795 counting only the distinct ones).

The product of its (nonzero) digits is 120000, while the sum is 37.

The spelling of 32582055025 in words is "thirty-two billion, five hundred eighty-two million, fifty-five thousand, twenty-five".