3305913059089 has 27 divisors (see below), whose sum is σ = 3430415678067. Its totient is φ = 3185865281664.

The previous prime is 3305913059087. The next prime is 3305913059159. The reversal of 3305913059089 is 9809503195033.

The square root of 3305913059089 is 1818217.

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 2975297259025 + 330615800064 = 1724905^2 + 574992^2 .

It is not a de Polignac number, because 3305913059089 - 2¹ = 3305913059087 is a prime.

It is a super-2 number, since 2×3305913059089² (a number of 26 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (3305913059081) 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, 10562022397 + ... + 10562022709.

It is an arithmetic number, because the mean of its divisors is an integer number (127052432521).

Almost surely, 2^{3305913059089} is an apocalyptic number.

3305913059089 is the 1818217-th square number.

3305913059089 is the 909109-th centered octagonal number.

It is an amenable number.

3305913059089 is a deficient number, since it is larger than the sum of its proper divisors (124502618978).

3305913059089 is an frugal number, since it uses more digits than its factorization.

3305913059089 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1014 (or 507 counting only the distinct ones).

The product of its (nonzero) digits is 3936600, while the sum is 55.

The spelling of 3305913059089 in words is "three trillion, three hundred five billion, nine hundred thirteen million, fifty-nine thousand, eighty-nine".