249823031329 has 9 divisors (see below), whose sum is σ = 250652982387. Its totient is φ = 248995824264.

The previous prime is 249823031317. The next prime is 249823031333. The reversal of 249823031329 is 923130328942.

The square root of 249823031329 is 499823.

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

It can be written as a sum of positive squares in only one way, i.e., 167424180625 + 82398850704 = 409175^2 + 287052^2 .

It is a de Polignac number, because none of the positive numbers 2^k-249823031329 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (249823031399) 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 8 ways as a sum of consecutive naturals, for example, 198429102 + ... + 198430360.

Almost surely, 2^249823031329 is an apocalyptic number.

249823031329 is the 499823-rd square number.

249823031329 is the 249912-nd centered octagonal number.

It is an amenable number.

249823031329 is a deficient number, since it is larger than the sum of its proper divisors (829951058).

249823031329 is an frugal number, since it uses more digits than its factorization.

249823031329 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3312 (or 1656 counting only the distinct ones).

The product of its (nonzero) digits is 559872, while the sum is 46.

The spelling of 249823031329 in words is "two hundred forty-nine billion, eight hundred twenty-three million, thirty-one thousand, three hundred twenty-nine".