249511093 has 12 divisors (see below), whose sum is σ = 271098660. Its totient is φ = 229634496.

The previous prime is 249511081. The next prime is 249511127. The reversal of 249511093 is 390115942.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 6 ways, for example, as 219721329 + 29789764 = 14823^2 + 5458^2 .

It is not a de Polignac number, because 249511093 - 2²¹ = 247413941 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (249541093) 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 11 ways as a sum of consecutive naturals, for example, 740221 + ... + 740557.

It is an arithmetic number, because the mean of its divisors is an integer number (22591555).

Almost surely, 2^249511093 is an apocalyptic number.

It is an amenable number.

249511093 is a deficient number, since it is larger than the sum of its proper divisors (21587567).

249511093 is an frugal number, since it uses more digits than its factorization.

249511093 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 713 (or 350 counting only the distinct ones).

The product of its (nonzero) digits is 9720, while the sum is 34.

The square root of 249511093 is about 15795.9201378077. The cubic root of 249511093 is about 629.5496008122.

The spelling of 249511093 in words is "two hundred forty-nine million, five hundred eleven thousand, ninety-three".