32980038980625 has 135 divisors (see below), whose sum is σ = 65441265456567. Its totient is φ = 15988024800000.

The previous prime is 32980038980587. The next prime is 32980038980641. The reversal of 32980038980625 is 52608983008923.

The square root of 32980038980625 is 5742825.

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

32980038980625 is a `hidden beast` number, since 32 + 98 + 0 + 0 + 389 + 80 + 62 + 5 = 666.

It can be written as a sum of positive squares in 7 ways, for example, as 15914283111441 + 17065755869184 = 3989271^2 + 4131072^2 .

It is not a de Polignac number, because 32980038980625 - 2⁹ = 32980038980113 is a prime.

It is an unprimeable number.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 4737827145 + ... + 4737834105.

Almost surely, 2^{32980038980625} is an apocalyptic number.

32980038980625 is the 5742825-th square number.

32980038980625 is the 2871413-rd centered octagonal number.

It is an amenable number.

32980038980625 is a deficient number, since it is larger than the sum of its proper divisors (32461226475942).

32980038980625 is an frugal number, since it uses more digits than its factorization.

32980038980625 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13970 (or 6980 counting only the distinct ones).

The product of its (nonzero) digits is 44789760, while the sum is 63.

The spelling of 32980038980625 in words is "thirty-two trillion, nine hundred eighty billion, thirty-eight million, nine hundred eighty thousand, six hundred twenty-five".