800167600241 has 2 divisors, whose sum is σ = 800167600242. Its totient is φ = 800167600240.

The previous prime is 800167600231. The next prime is 800167600259. The reversal of 800167600241 is 142006761008.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 589945350241 + 210222250000 = 768079^2 + 458500^2 .

It is a cyclic number.

It is not a de Polignac number, because 800167600241 - 2³⁰ = 799093858417 is a prime.

It is not a weakly prime, because it can be changed into another prime (800167600231) 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, 400083800120 + 400083800121.

It is an arithmetic number, because the mean of its divisors is an integer number (400083800121).

Almost surely, 2^800167600241 is an apocalyptic number.

It is an amenable number.

800167600241 is a deficient number, since it is larger than the sum of its proper divisors (1).

800167600241 is an equidigital number, since it uses as much as digits as its factorization.

800167600241 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 16128, while the sum is 35.

The spelling of 800167600241 in words is "eight hundred billion, one hundred sixty-seven million, six hundred thousand, two hundred forty-one".