248837131038721 has 2 divisors, whose sum is σ = 248837131038722. Its totient is φ = 248837131038720.

The previous prime is 248837131038689. The next prime is 248837131038841. The reversal of 248837131038721 is 127830131738842.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 147102452816400 + 101734678222321 = 12128580^2 + 10086361^2 .

It is a cyclic number.

It is not a de Polignac number, because 248837131038721 - 2⁵ = 248837131038689 is a prime.

It is a super-2 number, since 2×248837131038721² (a number of 30 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (248837131038421) 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 as a sum of consecutive naturals, namely, 124418565519360 + 124418565519361.

It is an arithmetic number, because the mean of its divisors is an integer number (124418565519361).

Almost surely, 2^{248837131038721} is an apocalyptic number.

It is an amenable number.

248837131038721 is a deficient number, since it is larger than the sum of its proper divisors (1).

248837131038721 is an equidigital number, since it uses as much as digits as its factorization.

248837131038721 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 10838016, while the sum is 58.

The spelling of 248837131038721 in words is "two hundred forty-eight trillion, eight hundred thirty-seven billion, one hundred thirty-one million, thirty-eight thousand, seven hundred twenty-one".