248608009 has 8 divisors (see below), whose sum is σ = 269687880. Its totient is φ = 227807616.

The previous prime is 248607977. The next prime is 248608013. The reversal of 248608009 is 900806842.

248608009 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 4 ways, for example, as 46172025 + 202435984 = 6795^2 + 14228^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 248608009 - 2⁵ = 248607977 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (248608079) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 68014 + ... + 71575.

It is an arithmetic number, because the mean of its divisors is an integer number (33710985).

Almost surely, 2^248608009 is an apocalyptic number.

It is an amenable number.

248608009 is a deficient number, since it is larger than the sum of its proper divisors (21079871).

248608009 is a wasteful number, since it uses less digits than its factorization.

248608009 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 139739.

The product of its (nonzero) digits is 27648, while the sum is 37.

The square root of 248608009 is about 15767.3082357135. The cubic root of 248608009 is about 628.7891490155.

The spelling of 248608009 in words is "two hundred forty-eight million, six hundred eight thousand, nine".