800157121 has 2 divisors, whose sum is σ = 800157122. Its totient is φ = 800157120.

The previous prime is 800157091. The next prime is 800157167. The reversal of 800157121 is 121751008.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 781761600 + 18395521 = 27960^2 + 4289^2 .

It is a cyclic number.

It is not a de Polignac number, because 800157121 - 2¹⁷ = 800026049 is a prime.

It is not a weakly prime, because it can be changed into another prime (800197121) 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, 400078560 + 400078561.

It is an arithmetic number, because the mean of its divisors is an integer number (400078561).

Almost surely, 2^800157121 is an apocalyptic number.

It is an amenable number.

800157121 is a deficient number, since it is larger than the sum of its proper divisors (1).

800157121 is an equidigital number, since it uses as much as digits as its factorization.

800157121 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 560, while the sum is 25.

The square root of 800157121 is about 28287.0486442117. The cubic root of 800157121 is about 928.3785370009.

The spelling of 800157121 in words is "eight hundred million, one hundred fifty-seven thousand, one hundred twenty-one".