248928313753 has 16 divisors (see below), whose sum is σ = 294413604480. Its totient is φ = 205929755136.

The previous prime is 248928313721. The next prime is 248928313793. The reversal of 248928313753 is 357313829842.

248928313753 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 248928313753 - 2⁵ = 248928313721 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 248928313694 and 248928313703.

It is not an unprimeable number, because it can be changed into a prime (248928313793) 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 15 ways as a sum of consecutive naturals, for example, 289926 + ... + 762832.

It is an arithmetic number, because the mean of its divisors is an integer number (18400850280).

Almost surely, 2^248928313753 is an apocalyptic number.

It is an amenable number.

248928313753 is a deficient number, since it is larger than the sum of its proper divisors (45485290727).

248928313753 is a wasteful number, since it uses less digits than its factorization.

248928313753 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 475536.

The product of its digits is 8709120, while the sum is 55.

The spelling of 248928313753 in words is "two hundred forty-eight billion, nine hundred twenty-eight million, three hundred thirteen thousand, seven hundred fifty-three".