248862250657 has 8 divisors (see below), whose sum is σ = 264632117256. Its totient is φ = 233218040832.

The previous prime is 248862250613. The next prime is 248862250669. The reversal of 248862250657 is 756052268842.

248862250657 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 754655841 + 248107594816 = 27471^2 + 498104^2 .

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 248862250657 - 2¹⁵ = 248862217889 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 248862250598 and 248862250607.

It is not an unprimeable number, because it can be changed into a prime (248862250457) 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, 31410108 + ... + 31418029.

It is an arithmetic number, because the mean of its divisors is an integer number (33079014657).

Almost surely, 2^248862250657 is an apocalyptic number.

It is an amenable number.

248862250657 is a deficient number, since it is larger than the sum of its proper divisors (15769866599).

248862250657 is a wasteful number, since it uses less digits than its factorization.

248862250657 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 62828387.

The product of its (nonzero) digits is 12902400, while the sum is 55.

The spelling of 248862250657 in words is "two hundred forty-eight billion, eight hundred sixty-two million, two hundred fifty thousand, six hundred fifty-seven".