249051220081 has 2 divisors, whose sum is σ = 249051220082. Its totient is φ = 249051220080.

The previous prime is 249051220043. The next prime is 249051220097. The reversal of 249051220081 is 180022150942.

249051220081 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 227972826225 + 21078393856 = 477465^2 + 145184^2 .

It is a cyclic number.

It is not a de Polignac number, because 249051220081 - 2¹⁷ = 249051089009 is a prime.

It is a super-3 number, since 3×249051220081³ (a number of 35 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is not a weakly prime, because it can be changed into another prime (249051220681) 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, 124525610040 + 124525610041.

It is an arithmetic number, because the mean of its divisors is an integer number (124525610041).

Almost surely, 2^249051220081 is an apocalyptic number.

It is an amenable number.

249051220081 is a deficient number, since it is larger than the sum of its proper divisors (1).

249051220081 is an equidigital number, since it uses as much as digits as its factorization.

249051220081 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 11520, while the sum is 34.

The spelling of 249051220081 in words is "two hundred forty-nine billion, fifty-one million, two hundred twenty thousand, eighty-one".