248082753 has 16 divisors (see below), whose sum is σ = 349952000. Its totient is φ = 155889360.

The previous prime is 248082727. The next prime is 248082823. The reversal of 248082753 is 357280842.

It is not a de Polignac number, because 248082753 - 2¹⁴ = 248066369 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (248082713) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 408 + ... + 22278.

It is an arithmetic number, because the mean of its divisors is an integer number (21872000).

Almost surely, 2^248082753 is an apocalyptic number.

It is an amenable number.

248082753 is a deficient number, since it is larger than the sum of its proper divisors (101869247).

248082753 is a wasteful number, since it uses less digits than its factorization.

248082753 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22092.

The product of its (nonzero) digits is 107520, while the sum is 39.

The square root of 248082753 is about 15750.6429392581. The cubic root of 248082753 is about 628.3460040708.

The spelling of 248082753 in words is "two hundred forty-eight million, eighty-two thousand, seven hundred fifty-three".