249953002209 has 27 divisors (see below), whose sum is σ = 383569474483. Its totient is φ = 156817257792.

The previous prime is 249953002207. The next prime is 249953002213. The reversal of 249953002209 is 902200359942.

The square root of 249953002209 is 499953.

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

249953002209 is a `hidden beast` number, since 2 + 4 + 99 + 530 + 0 + 2 + 20 + 9 = 666.

It can be written as a sum of positive squares in only one way, i.e., 194600088225 + 55352913984 = 441135^2 + 235272^2 .

It is not a de Polignac number, because 249953002209 - 2¹ = 249953002207 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (249953002207) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 25492702 + ... + 25502504.

Almost surely, 2^249953002209 is an apocalyptic number.

249953002209 is the 499953-rd square number.

249953002209 is the 249977-th centered octagonal number.

It is an amenable number.

249953002209 is a deficient number, since it is larger than the sum of its proper divisors (133616472274).

249953002209 is an frugal number, since it uses more digits than its factorization.

249953002209 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19646 (or 9823 counting only the distinct ones).

The product of its (nonzero) digits is 349920, while the sum is 45.

The spelling of 249953002209 in words is "two hundred forty-nine billion, nine hundred fifty-three million, two thousand, two hundred nine".