251264454041 has 2 divisors, whose sum is σ = 251264454042. Its totient is φ = 251264454040.

The previous prime is 251264454013. The next prime is 251264454061. The reversal of 251264454041 is 140454462152.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 239296094041 + 11968360000 = 489179^2 + 109400^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-251264454041 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 251264453986 and 251264454004.

It is not a weakly prime, because it can be changed into another prime (251264454061) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 125632227020 + 125632227021.

It is an arithmetic number, because the mean of its divisors is an integer number (125632227021).

Almost surely, 2^251264454041 is an apocalyptic number.

It is an amenable number.

251264454041 is a deficient number, since it is larger than the sum of its proper divisors (1).

251264454041 is an equidigital number, since it uses as much as digits as its factorization.

251264454041 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 153600, while the sum is 38.

The spelling of 251264454041 in words is "two hundred fifty-one billion, two hundred sixty-four million, four hundred fifty-four thousand, forty-one".