3305578515625 has 27 divisors (see below), whose sum is σ = 4133391926671. Its totient is φ = 2643553750000.

The previous prime is 3305578515623. The next prime is 3305578515649. The reversal of 3305578515625 is 5265158755033.

The square root of 3305578515625 is 1818125.

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 1148075819289 + 2157502696336 = 1071483^2 + 1468844^2 .

It is not a de Polignac number, because 3305578515625 - 2¹ = 3305578515623 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (3305578515623) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 1136326671 + ... + 1136329579.

Almost surely, 2^{3305578515625} is an apocalyptic number.

3305578515625 is the 1818125-th square number.

3305578515625 is the 909063-rd centered octagonal number.

It is an amenable number.

3305578515625 is a deficient number, since it is larger than the sum of its proper divisors (827813411046).

3305578515625 is an frugal number, since it uses more digits than its factorization.

3305578515625 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5858 (or 2914 counting only the distinct ones).

The product of its (nonzero) digits is 18900000, while the sum is 55.

The spelling of 3305578515625 in words is "three trillion, three hundred five billion, five hundred seventy-eight million, five hundred fifteen thousand, six hundred twenty-five".