264002225728513 has 8 divisors (see below), whose sum is σ = 266980479640200. Its totient is φ = 261024237078528.

The previous prime is 264002225728511. The next prime is 264002225728519. The reversal of 264002225728513 is 315827522200462.

It can be written as a sum of positive squares in 4 ways, for example, as 5893324298689 + 258108901429824 = 2427617^2 + 16065768^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 264002225728513 - 2¹ = 264002225728511 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (264002225728511) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 64313356 + ... + 68295037.

It is an arithmetic number, because the mean of its divisors is an integer number (33372559955025).

Almost surely, 2^{264002225728513} is an apocalyptic number.

It is an amenable number.

264002225728513 is a deficient number, since it is larger than the sum of its proper divisors (2978253911687).

264002225728513 is a wasteful number, since it uses less digits than its factorization.

264002225728513 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 132630851.

The product of its (nonzero) digits is 3225600, while the sum is 49.

Adding to 264002225728513 its reverse (315827522200462), we get a palindrome (579829747928975).

The spelling of 264002225728513 in words is "two hundred sixty-four trillion, two billion, two hundred twenty-five million, seven hundred twenty-eight thousand, five hundred thirteen".