251261450653 has 2 divisors, whose sum is σ = 251261450654. Its totient is φ = 251261450652.

The previous prime is 251261450647. The next prime is 251261450669. The reversal of 251261450653 is 356054162152.

251261450653 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 134206460964 + 117054989689 = 366342^2 + 342133^2 .

It is a cyclic number.

It is not a de Polignac number, because 251261450653 - 2³⁷ = 113822497181 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (251261451653) 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, 125630725326 + 125630725327.

It is an arithmetic number, because the mean of its divisors is an integer number (125630725327).

Almost surely, 2^251261450653 is an apocalyptic number.

It is an amenable number.

251261450653 is a deficient number, since it is larger than the sum of its proper divisors (1).

251261450653 is an equidigital number, since it uses as much as digits as its factorization.

251261450653 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 216000, while the sum is 40.

The spelling of 251261450653 in words is "two hundred fifty-one billion, two hundred sixty-one million, four hundred fifty thousand, six hundred fifty-three".