248851129081 has 2 divisors, whose sum is σ = 248851129082. Its totient is φ = 248851129080.

The previous prime is 248851129069. The next prime is 248851129091. The reversal of 248851129081 is 180921158842.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 188580879081 + 60270250000 = 434259^2 + 245500^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-248851129081 is a prime.

It is a super-2 number, since 2×248851129081² (a number of 24 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (248851129091) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 124425564540 + 124425564541.

It is an arithmetic number, because the mean of its divisors is an integer number (124425564541).

Almost surely, 2^248851129081 is an apocalyptic number.

It is an amenable number.

248851129081 is a deficient number, since it is larger than the sum of its proper divisors (1).

248851129081 is an equidigital number, since it uses as much as digits as its factorization.

248851129081 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 368640, while the sum is 49.

The spelling of 248851129081 in words is "two hundred forty-eight billion, eight hundred fifty-one million, one hundred twenty-nine thousand, eighty-one".