32780913025 has 45 divisors (see below), whose sum is σ = 47484487491. Its totient is φ = 22447923120.

The previous prime is 32780913007. The next prime is 32780913041. The reversal of 32780913025 is 52031908723.

The square root of 32780913025 is 181055.

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., 11801128689 + 20979784336 = 108633^2 + 144844^2 .

It is not a de Polignac number, because 32780913025 - 2⁷ = 32780912897 is a prime.

It is a super-2 number, since 2×32780913025² (a number of 22 digits) contains 22 as substring.

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, 44358106 + ... + 44358844.

Almost surely, 2^32780913025 is an apocalyptic number.

32780913025 is a gapful number since it is divisible by the number (35) formed by its first and last digit.

32780913025 is the 181055-th square number.

32780913025 is the 90528-th centered octagonal number.

It is an amenable number.

32780913025 is a deficient number, since it is larger than the sum of its proper divisors (14703574466).

32780913025 is an frugal number, since it uses more digits than its factorization.

32780913025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1516 (or 751 counting only the distinct ones).

The product of its (nonzero) digits is 90720, while the sum is 40.

The spelling of 32780913025 in words is "thirty-two billion, seven hundred eighty million, nine hundred thirteen thousand, twenty-five".