249493257049 has 3 divisors (see below), whose sum is σ = 249493756543. Its totient is φ = 249492757556.

The previous prime is 249493257043. The next prime is 249493257061. The reversal of 249493257049 is 940752394942.

The square root of 249493257049 is 499493.

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

It is a semiprime because it is the product of two primes, and also a brilliant number, because the two primes have the same length, and also an emirpimes, since its reverse is a distinct semiprime: 940752394942 = 2 ⋅470376197471.

It can be written as a sum of positive squares in only one way, i.e., 56361134025 + 193132123024 = 237405^2 + 439468^2 .

It is not a de Polignac number, because 249493257049 - 2⁵ = 249493257017 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 249493256984 and 249493257002.

It is not an unprimeable number, because it can be changed into a prime (249493257043) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 2 ways as a sum of consecutive naturals, for example, 249747 + ... + 749239.

Almost surely, 2^249493257049 is an apocalyptic number.

249493257049 is the 499493-rd square number.

249493257049 is the 249747-th centered octagonal number.

It is an amenable number.

249493257049 is a deficient number, since it is larger than the sum of its proper divisors (499494).

249493257049 is an frugal number, since it uses more digits than its factorization.

249493257049 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 998986 (or 499493 counting only the distinct ones).

The product of its (nonzero) digits is 19595520, while the sum is 58.

The spelling of 249493257049 in words is "two hundred forty-nine billion, four hundred ninety-three million, two hundred fifty-seven thousand, forty-nine".