456506021 has 2 divisors, whose sum is σ = 456506022. Its totient is φ = 456506020.

The previous prime is 456505993. The next prime is 456506077. The reversal of 456506021 is 120605654.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 342657121 + 113848900 = 18511^2 + 10670^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-456506021 is a prime.

It is a Sophie Germain prime.

It is a Curzon number.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (456506221) 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, 228253010 + 228253011.

It is an arithmetic number, because the mean of its divisors is an integer number (228253011).

Almost surely, 2^456506021 is an apocalyptic number.

It is an amenable number.

456506021 is a deficient number, since it is larger than the sum of its proper divisors (1).

456506021 is an equidigital number, since it uses as much as digits as its factorization.

456506021 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 7200, while the sum is 29.

The square root of 456506021 is about 21366.0015211082. The cubic root of 456506021 is about 769.9848318820.

The spelling of 456506021 in words is "four hundred fifty-six million, five hundred six thousand, twenty-one".