248877874918297 has 2 divisors, whose sum is σ = 248877874918298. Its totient is φ = 248877874918296.

The previous prime is 248877874918177. The next prime is 248877874918369. The reversal of 248877874918297 is 792819478778842.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 189573767679241 + 59304107239056 = 13768579^2 + 7700916^2 .

It is a cyclic number.

It is not a de Polignac number, because 248877874918297 - 2³⁵ = 248843515179929 is a prime.

It is not a weakly prime, because it can be changed into another prime (248877874918997) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 124438937459148 + 124438937459149.

It is an arithmetic number, because the mean of its divisors is an integer number (124438937459149).

Almost surely, 2^{248877874918297} is an apocalyptic number.

It is an amenable number.

248877874918297 is a deficient number, since it is larger than the sum of its proper divisors (1).

248877874918297 is an equidigital number, since it uses as much as digits as its factorization.

248877874918297 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 50982027264, while the sum is 91.

The spelling of 248877874918297 in words is "two hundred forty-eight trillion, eight hundred seventy-seven billion, eight hundred seventy-four million, nine hundred eighteen thousand, two hundred ninety-seven".