456005261 has 2 divisors, whose sum is σ = 456005262. Its totient is φ = 456005260.

The previous prime is 456005243. The next prime is 456005267. The reversal of 456005261 is 162500654.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 256320100 + 199685161 = 16010^2 + 14131^2 .

It is a cyclic number.

It is not a de Polignac number, because 456005261 - 2¹⁸ = 455743117 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (456005267) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 228002630 + 228002631.

It is an arithmetic number, because the mean of its divisors is an integer number (228002631).

Almost surely, 2^456005261 is an apocalyptic number.

It is an amenable number.

456005261 is a deficient number, since it is larger than the sum of its proper divisors (1).

456005261 is an equidigital number, since it uses as much as digits as its factorization.

456005261 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 456005261 is about 21354.2796881562. The cubic root of 456005261 is about 769.7031863265.

The spelling of 456005261 in words is "four hundred fifty-six million, five thousand, two hundred sixty-one".