353509917489 has 105 divisors (see below), whose sum is σ = 568789836459. Its totient is φ = 219609267120.

The previous prime is 353509917433. The next prime is 353509917511. The reversal of 353509917489 is 984719905353.

The square root of 353509917489 is 594567.

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

353509917489 is a `hidden beast` number, since 3 + 5 + 3 + 50 + 99 + 17 + 489 = 666.

It can be written as a sum of positive squares in only one way, i.e., 11495485089 + 342014432400 = 107217^2 + 584820^2 .

It is not a de Polignac number, because 353509917489 - 2¹⁹ = 353509393201 is a prime.

It is not an unprimeable number, because it can be changed into a prime (353509917419) by changing a digit.

It is a polite number, since it can be written in 104 ways as a sum of consecutive naturals, for example, 5795244519 + ... + 5795244579.

Almost surely, 2^353509917489 is an apocalyptic number.

353509917489 is the 594567-th square number.

353509917489 is the 297284-th centered octagonal number.

It is an amenable number.

353509917489 is a deficient number, since it is larger than the sum of its proper divisors (215279918970).

353509917489 is an frugal number, since it uses more digits than its factorization.

353509917489 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 216 (or 83 counting only the distinct ones).

The product of its (nonzero) digits is 36741600, while the sum is 63.

The spelling of 353509917489 in words is "three hundred fifty-three billion, five hundred nine million, nine hundred seventeen thousand, four hundred eighty-nine".