264435104665061 has 24 divisors (see below), whose sum is σ = 291096862092792. Its totient is φ = 240034462870400.

The previous prime is 264435104665037. The next prime is 264435104665129. The reversal of 264435104665061 is 160566401534462.

It can be written as a sum of positive squares in 4 ways, for example, as 128619528513025 + 135815576152036 = 11341055^2 + 11653994^2 .

It is not a de Polignac number, because 264435104665061 - 2¹⁰ = 264435104664037 is a prime.

It is a super-3 number, since 3×264435104665061³ (a number of 44 digits) contains 333 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 264435104664994 and 264435104665012.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (264435104665001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 350595035 + ... + 351348471.

It is an arithmetic number, because the mean of its divisors is an integer number (12129035920533).

Almost surely, 2^{264435104665061} is an apocalyptic number.

It is an amenable number.

264435104665061 is a deficient number, since it is larger than the sum of its proper divisors (26661757427731).

264435104665061 is a wasteful number, since it uses less digits than its factorization.

264435104665061 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 757813 (or 757802 counting only the distinct ones).

The product of its (nonzero) digits is 12441600, while the sum is 53.

The spelling of 264435104665061 in words is "two hundred sixty-four trillion, four hundred thirty-five billion, one hundred four million, six hundred sixty-five thousand, sixty-one".