457501601 has 2 divisors, whose sum is σ = 457501602. Its totient is φ = 457501600.

The previous prime is 457501549. The next prime is 457501621. The reversal of 457501601 is 106105754.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 357021025 + 100480576 = 18895^2 + 10024^2 .

It is a cyclic number.

It is not a de Polignac number, because 457501601 - 2¹⁸ = 457239457 is a prime.

It is a Sophie Germain prime.

It is a Curzon number.

It is not a weakly prime, because it can be changed into another prime (457501621) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 228750800 + 228750801.

It is an arithmetic number, because the mean of its divisors is an integer number (228750801).

Almost surely, 2^457501601 is an apocalyptic number.

It is an amenable number.

457501601 is a deficient number, since it is larger than the sum of its proper divisors (1).

457501601 is an equidigital number, since it uses as much as digits as its factorization.

457501601 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 4200, while the sum is 29.

The square root of 457501601 is about 21389.2870615175. The cubic root of 457501601 is about 770.5441709097.

The spelling of 457501601 in words is "four hundred fifty-seven million, five hundred one thousand, six hundred one".