264814541 has 2 divisors, whose sum is σ = 264814542. Its totient is φ = 264814540.

The previous prime is 264814499. The next prime is 264814547. The reversal of 264814541 is 145418462.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 206353225 + 58461316 = 14365^2 + 7646^2 .

It is a cyclic number.

It is not a de Polignac number, because 264814541 - 2⁶ = 264814477 is a prime.

It is a super-2 number, since 2×264814541² = 140253482250081362, which contains 22 as substring.

It is a Sophie Germain prime.

It is a Chen 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 (264814547) 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, 132407270 + 132407271.

It is an arithmetic number, because the mean of its divisors is an integer number (132407271).

Almost surely, 2^264814541 is an apocalyptic number.

It is an amenable number.

264814541 is a deficient number, since it is larger than the sum of its proper divisors (1).

264814541 is an equidigital number, since it uses as much as digits as its factorization.

264814541 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 30720, while the sum is 35.

The square root of 264814541 is about 16273.1232712101. The cubic root of 264814541 is about 642.1659533199.

The spelling of 264814541 in words is "two hundred sixty-four million, eight hundred fourteen thousand, five hundred forty-one".