264759541 has 2 divisors, whose sum is σ = 264759542. Its totient is φ = 264759540.

The previous prime is 264759493. The next prime is 264759553. The reversal of 264759541 is 145957462.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 262926225 + 1833316 = 16215^2 + 1354^2 .

It is a cyclic number.

It is not a de Polignac number, because 264759541 - 2⁹ = 264759029 is a prime.

It is a super-2 number, since 2×264759541² = 140195229101061362, which contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (264759641) 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, 132379770 + 132379771.

It is an arithmetic number, because the mean of its divisors is an integer number (132379771).

Almost surely, 2^264759541 is an apocalyptic number.

It is an amenable number.

264759541 is a deficient number, since it is larger than the sum of its proper divisors (1).

264759541 is an equidigital number, since it uses as much as digits as its factorization.

264759541 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 302400, while the sum is 43.

The square root of 264759541 is about 16271.4332804458. The cubic root of 264759541 is about 642.1214925528.

The spelling of 264759541 in words is "two hundred sixty-four million, seven hundred fifty-nine thousand, five hundred forty-one".