249584938497 has 20 divisors (see below), whose sum is σ = 373652650756. Its totient is φ = 166025842560.

The previous prime is 249584938489. The next prime is 249584938513. The reversal of 249584938497 is 794839485942.

249584938497 is a `hidden beast` number, since 2 + 4 + 9 + 58 + 493 + 84 + 9 + 7 = 666.

249584938497 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 221126598081 + 28458340416 = 470241^2 + 168696^2 .

It is not a de Polignac number, because 249584938497 - 2³ = 249584938489 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (249584938417) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 3334204 + ... + 3408237.

Almost surely, 2^249584938497 is an apocalyptic number.

249584938497 is a gapful number since it is divisible by the number (27) formed by its first and last digit.

It is an amenable number.

249584938497 is a deficient number, since it is larger than the sum of its proper divisors (124067712259).

249584938497 is an equidigital number, since it uses as much as digits as its factorization.

249584938497 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6742910 (or 6742901 counting only the distinct ones).

The product of its digits is 627056640, while the sum is 72.

The spelling of 249584938497 in words is "two hundred forty-nine billion, five hundred eighty-four million, nine hundred thirty-eight thousand, four hundred ninety-seven".