264553 has 2 divisors, whose sum is σ = 264554. Its totient is φ = 264552.

The previous prime is 264529. The next prime is 264559. The reversal of 264553 is 355462.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 153664 + 110889 = 392^2 + 333^2 .

It is a cyclic number.

It is not a de Polignac number, because 264553 - 2¹⁷ = 133481 is a prime.

It is a d-powerful number, because it can be written as 2¹⁸ + 6 + 5² + 4⁵ + 5⁴ + 3⁶ .

264553 is a lucky number.

It is not a weakly prime, because it can be changed into another prime (264559) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a good prime.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 132276 + 132277.

It is an arithmetic number, because the mean of its divisors is an integer number (132277).

2²⁶⁴⁵⁵³ is an apocalyptic number.

It is an amenable number.

264553 is a deficient number, since it is larger than the sum of its proper divisors (1).

264553 is an equidigital number, since it uses as much as digits as its factorization.

264553 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 3600, while the sum is 25.

The square root of 264553 is about 514.3471590278. The cubic root of 264553 is about 64.1954474439.

Subtracting 264553 from its reverse (355462), we obtain a palindrome (90909).

It can be divided in two parts, 2645 and 53, that multiplied together give a triangular number (140185 = T₅₂₉).

The spelling of 264553 in words is "two hundred sixty-four thousand, five hundred fifty-three".