248146325257 has 2 divisors, whose sum is σ = 248146325258. Its totient is φ = 248146325256.

The previous prime is 248146325129. The next prime is 248146325269. The reversal of 248146325257 is 752523641842.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 201574958841 + 46571366416 = 448971^2 + 215804^2 .

It is a cyclic number.

It is not a de Polignac number, because 248146325257 - 2⁷ = 248146325129 is a prime.

It is a super-2 number, since 2×248146325257² (a number of 24 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 248146325257.

It is not a weakly prime, because it can be changed into another prime (248146325657) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 124073162628 + 124073162629.

It is an arithmetic number, because the mean of its divisors is an integer number (124073162629).

Almost surely, 2^248146325257 is an apocalyptic number.

It is an amenable number.

248146325257 is a deficient number, since it is larger than the sum of its proper divisors (1).

248146325257 is an equidigital number, since it uses as much as digits as its factorization.

248146325257 is an evil number, because the sum of its binary digits is even.

The product of its digits is 3225600, while the sum is 49.

The spelling of 248146325257 in words is "two hundred forty-eight billion, one hundred forty-six million, three hundred twenty-five thousand, two hundred fifty-seven".