458006725361 has 2 divisors, whose sum is σ = 458006725362. Its totient is φ = 458006725360.

The previous prime is 458006725349. The next prime is 458006725369. The reversal of 458006725361 is 163527600854.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 419831427136 + 38175298225 = 647944^2 + 195385^2 .

It is a cyclic number.

It is not a de Polignac number, because 458006725361 - 2¹⁸ = 458006463217 is a prime.

It is not a weakly prime, because it can be changed into another prime (458006725369) 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, 229003362680 + 229003362681.

It is an arithmetic number, because the mean of its divisors is an integer number (229003362681).

Almost surely, 2^458006725361 is an apocalyptic number.

It is an amenable number.

458006725361 is a deficient number, since it is larger than the sum of its proper divisors (1).

458006725361 is an equidigital number, since it uses as much as digits as its factorization.

458006725361 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1209600, while the sum is 47.

The spelling of 458006725361 in words is "four hundred fifty-eight billion, six million, seven hundred twenty-five thousand, three hundred sixty-one".