457885252289 has 2 divisors, whose sum is σ = 457885252290. Its totient is φ = 457885252288.

The previous prime is 457885252243. The next prime is 457885252301. The reversal of 457885252289 is 982252588754.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 286671363889 + 171213888400 = 535417^2 + 413780^2 .

It is a cyclic number.

It is not a de Polignac number, because 457885252289 - 2²⁴ = 457868475073 is a prime.

It is a super-2 number, since 2×457885252289² (a number of 24 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (457885252889) 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, 228942626144 + 228942626145.

It is an arithmetic number, because the mean of its divisors is an integer number (228942626145).

Almost surely, 2^457885252289 is an apocalyptic number.

It is an amenable number.

457885252289 is a deficient number, since it is larger than the sum of its proper divisors (1).

457885252289 is an equidigital number, since it uses as much as digits as its factorization.

457885252289 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 129024000, while the sum is 65.

The spelling of 457885252289 in words is "four hundred fifty-seven billion, eight hundred eighty-five million, two hundred fifty-two thousand, two hundred eighty-nine".