264223217272577 has 2 divisors, whose sum is σ = 264223217272578. Its totient is φ = 264223217272576.

The previous prime is 264223217272489. The next prime is 264223217272621. The reversal of 264223217272577 is 775272712322462.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 245640703439041 + 18582513833536 = 15672929^2 + 4310744^2 .

It is a cyclic number.

It is not a de Polignac number, because 264223217272577 - 2¹⁶ = 264223217207041 is a prime.

It is not a weakly prime, because it can be changed into another prime (264223217272877) 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, 132111608636288 + 132111608636289.

It is an arithmetic number, because the mean of its divisors is an integer number (132111608636289).

Almost surely, 2^{264223217272577} is an apocalyptic number.

It is an amenable number.

264223217272577 is a deficient number, since it is larger than the sum of its proper divisors (1).

264223217272577 is an equidigital number, since it uses as much as digits as its factorization.

264223217272577 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 55319040, while the sum is 59.

The spelling of 264223217272577 in words is "two hundred sixty-four trillion, two hundred twenty-three billion, two hundred seventeen million, two hundred seventy-two thousand, five hundred seventy-seven".