289229915601 has 81 divisors (see below), whose sum is σ = 471380300937. Its totient is φ = 170762573520.

The previous prime is 289229915567. The next prime is 289229915609. The reversal of 289229915601 is 106519922982.

The square root of 289229915601 is 537801.

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

289229915601 is a `hidden beast` number, since 2 + 8 + 9 + 2 + 29 + 9 + 1 + 5 + 601 = 666.

It is not a de Polignac number, because 289229915601 - 2¹³ = 289229907409 is a prime.

It is not an unprimeable number, because it can be changed into a prime (289229915609) 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 80 ways as a sum of consecutive naturals, for example, 763139430 + ... + 763139808.

Almost surely, 2^289229915601 is an apocalyptic number.

289229915601 is the 537801-st square number.

289229915601 is the 268901-st centered octagonal number.

It is an amenable number.

289229915601 is a deficient number, since it is larger than the sum of its proper divisors (182150385336).

289229915601 is an equidigital number, since it uses as much as digits as its factorization.

289229915601 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 872 (or 436 counting only the distinct ones).

The product of its (nonzero) digits is 1399680, while the sum is 54.

The spelling of 289229915601 in words is "two hundred eighty-nine billion, two hundred twenty-nine million, nine hundred fifteen thousand, six hundred one".