289724904121 has 9 divisors (see below), whose sum is σ = 291218674149. Its totient is φ = 288238765500.

The previous prime is 289724904109. The next prime is 289724904151. The reversal of 289724904121 is 121409427982.

The square root of 289724904121 is 538261.

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

It is a de Polignac number, because none of the positive numbers 2^k-289724904121 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (289724904101) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 113571796 + ... + 113574346.

It is an arithmetic number, because the mean of its divisors is an integer number (32357630461).

Almost surely, 2^289724904121 is an apocalyptic number.

289724904121 is the 538261-st square number.

289724904121 is the 269131-st centered octagonal number.

It is an amenable number.

289724904121 is a deficient number, since it is larger than the sum of its proper divisors (1493770028).

289724904121 is an frugal number, since it uses more digits than its factorization.

289724904121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5524 (or 2762 counting only the distinct ones).

The product of its (nonzero) digits is 580608, while the sum is 49.

Multiplying 289724904121 by its sum of digits (49), we get a square (14196520301929 = 3767827²).

The spelling of 289724904121 in words is "two hundred eighty-nine billion, seven hundred twenty-four million, nine hundred four thousand, one hundred twenty-one".