248506362825 has 72 divisors (see below), whose sum is σ = 494424694080. Its totient is φ = 109685520000.

The previous prime is 248506362803. The next prime is 248506362829. The reversal of 248506362825 is 528263605842.

248506362825 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 248506362825 - 2¹² = 248506358729 is a prime.

It is not an unprimeable number, because it can be changed into a prime (248506362829) 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 71 ways as a sum of consecutive naturals, for example, 1059301 + ... + 1272450.

It is an arithmetic number, because the mean of its divisors is an integer number (6867009640).

Almost surely, 2^248506362825 is an apocalyptic number.

248506362825 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

248506362825 is a deficient number, since it is larger than the sum of its proper divisors (245918331255).

248506362825 is a wasteful number, since it uses less digits than its factorization.

248506362825 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2331807 (or 2331795 counting only the distinct ones).

The product of its (nonzero) digits is 5529600, while the sum is 51.

The spelling of 248506362825 in words is "two hundred forty-eight billion, five hundred six million, three hundred sixty-two thousand, eight hundred twenty-five".