456101159 has 2 divisors, whose sum is σ = 456101160. Its totient is φ = 456101158.

The previous prime is 456101111. The next prime is 456101161. The reversal of 456101159 is 951101654.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 456101159 - 2¹⁶ = 456035623 is a prime.

It is a super-2 number, since 2×456101159² = 416056534482286562, which contains 22 as substring.

Together with 456101161, it forms a pair of twin primes.

It is a Chen prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (456100159) 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, 228050579 + 228050580.

It is an arithmetic number, because the mean of its divisors is an integer number (228050580).

Almost surely, 2^456101159 is an apocalyptic number.

456101159 is a deficient number, since it is larger than the sum of its proper divisors (1).

456101159 is an equidigital number, since it uses as much as digits as its factorization.

456101159 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 5400, while the sum is 32.

The square root of 456101159 is about 21356.5249748174. The cubic root of 456101159 is about 769.7571387906.

The spelling of 456101159 in words is "four hundred fifty-six million, one hundred one thousand, one hundred fifty-nine".