32605755921025 has 27 divisors (see below), whose sum is σ = 47032427639619. Its totient is φ = 22358095588080.

The previous prime is 32605755920951. The next prime is 32605755921029. The reversal of 32605755921025 is 52012955750623.

The square root of 32605755921025 is 5710145.

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., 11738072131569 + 20867683789456 = 3426087^2 + 4568116^2 .

It is not a de Polignac number, because 32605755921025 - 2²¹ = 32605753823873 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (32605755921029) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 199773502 + ... + 199936648.

Almost surely, 2^{32605755921025} is an apocalyptic number.

32605755921025 is a gapful number since it is divisible by the number (35) formed by its first and last digit.

32605755921025 is the 5710145-th square number.

32605755921025 is the 2855073-rd centered octagonal number.

It is an amenable number.

32605755921025 is a deficient number, since it is larger than the sum of its proper divisors (14426671718594).

32605755921025 is an frugal number, since it uses more digits than its factorization.

32605755921025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 326318 (or 163159 counting only the distinct ones).

The product of its (nonzero) digits is 5670000, while the sum is 52.

The spelling of 32605755921025 in words is "thirty-two trillion, six hundred five billion, seven hundred fifty-five million, nine hundred twenty-one thousand, twenty-five".