264432582588677 has 2 divisors, whose sum is σ = 264432582588678. Its totient is φ = 264432582588676.

The previous prime is 264432582588509. The next prime is 264432582588697. The reversal of 264432582588677 is 776885285234462.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 239727964888801 + 24704617699876 = 15483151^2 + 4970374^2 .

It is a cyclic number.

It is not a de Polignac number, because 264432582588677 - 2¹⁶ = 264432582523141 is a prime.

It is a super-2 number, since 2×264432582588677² (a number of 30 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 264432582588598 and 264432582588607.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (264432582588697) 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, 132216291294338 + 132216291294339.

It is an arithmetic number, because the mean of its divisors is an integer number (132216291294339).

Almost surely, 2^{264432582588677} is an apocalyptic number.

It is an amenable number.

264432582588677 is a deficient number, since it is larger than the sum of its proper divisors (1).

264432582588677 is an equidigital number, since it uses as much as digits as its factorization.

264432582588677 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 8670412800, while the sum is 77.

The spelling of 264432582588677 in words is "two hundred sixty-four trillion, four hundred thirty-two billion, five hundred eighty-two million, five hundred eighty-eight thousand, six hundred seventy-seven".