249017966289 has 27 divisors (see below), whose sum is σ = 362084847579. Its totient is φ = 164915138160.

The previous prime is 249017966287. The next prime is 249017966299. The reversal of 249017966289 is 982669710942.

The square root of 249017966289 is 499017.

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

249017966289 is a `hidden beast` number, since 2 + 490 + 1 + 7 + 9 + 6 + 62 + 89 = 666.

It can be written as a sum of positive squares in only one way, i.e., 2743978689 + 246273987600 = 52383^2 + 496260^2 .

It is not a de Polignac number, because 249017966289 - 2¹ = 249017966287 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (249017966287) 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, 270965772 + ... + 270966690.

Almost surely, 2^249017966289 is an apocalyptic number.

249017966289 is the 499017-th square number.

249017966289 is the 249509-th centered octagonal number.

It is an amenable number.

249017966289 is a deficient number, since it is larger than the sum of its proper divisors (113066881290).

249017966289 is an frugal number, since it uses more digits than its factorization.

249017966289 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2206 (or 1103 counting only the distinct ones).

The product of its (nonzero) digits is 23514624, while the sum is 63.

The spelling of 249017966289 in words is "two hundred forty-nine billion, seventeen million, nine hundred sixty-six thousand, two hundred eighty-nine".