248509045 has 8 divisors (see below), whose sum is σ = 298529496. Its totient is φ = 198594816.

The previous prime is 248509021. The next prime is 248509049. The reversal of 248509045 is 540905842.

It can be written as a sum of positive squares in 4 ways, for example, as 82846404 + 165662641 = 9102^2 + 12871^2 .

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 248509045 - 2⁵ = 248509013 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 248508995 and 248509013.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (248509049) 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 7 ways as a sum of consecutive naturals, for example, 21312 + ... + 30841.

It is an arithmetic number, because the mean of its divisors is an integer number (37316187).

Almost surely, 2^248509045 is an apocalyptic number.

It is an amenable number.

248509045 is a deficient number, since it is larger than the sum of its proper divisors (50020451).

248509045 is an equidigital number, since it uses as much as digits as its factorization.

248509045 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 53111.

The product of its (nonzero) digits is 57600, while the sum is 37.

The square root of 248509045 is about 15764.1696578031. The cubic root of 248509045 is about 628.7057033957.

The spelling of 248509045 in words is "two hundred forty-eight million, five hundred nine thousand, forty-five".