32758623955225 has 81 divisors (see below), whose sum is σ = 48389822288703. Its totient is φ = 21934890462240.

The previous prime is 32758623955201. The next prime is 32758623955229. The reversal of 32758623955225 is 52255932685723.

The square root of 32758623955225 is 5723515.

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

It can be written as a sum of positive squares in only one way, i.e., 11793104623881 + 20965519331344 = 3434109^2 + 4578812^2 .

It is not a de Polignac number, because 32758623955225 - 2⁷ = 32758623955097 is a prime.

It is not an unprimeable number, because it can be changed into a prime (32758623955229) by changing a digit.

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 80 ways as a sum of consecutive naturals, for example, 8613888174 + ... + 8613891976.

Almost surely, 2^{32758623955225} is an apocalyptic number.

32758623955225 is a gapful number since it is divisible by the number (35) formed by its first and last digit.

32758623955225 is the 5723515-th square number.

32758623955225 is the 2861758-th centered octagonal number.

It is an amenable number.

32758623955225 is a deficient number, since it is larger than the sum of its proper divisors (15631198333478).

32758623955225 is an frugal number, since it uses more digits than its factorization.

32758623955225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7716 (or 3858 counting only the distinct ones).

The product of its digits is 272160000, while the sum is 64.

The spelling of 32758623955225 in words is "thirty-two trillion, seven hundred fifty-eight billion, six hundred twenty-three million, nine hundred fifty-five thousand, two hundred twenty-five".