264641503643201 has 8 divisors (see below), whose sum is σ = 265573422038760. Its totient is φ = 263710774680192.

The previous prime is 264641503643137. The next prime is 264641503643203. The reversal of 264641503643201 is 102346305146462.

It can be written as a sum of positive squares in 4 ways, for example, as 23965871295025 + 240675632348176 = 4895495^2 + 15513724^2 .

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 264641503643201 - 2⁶ = 264641503643137 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (264641503643203) 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, 296912366 + ... + 297802343.

It is an arithmetic number, because the mean of its divisors is an integer number (33196677754845).

Almost surely, 2^{264641503643201} is an apocalyptic number.

It is an amenable number.

264641503643201 is a deficient number, since it is larger than the sum of its proper divisors (931918395559).

264641503643201 is a wasteful number, since it uses less digits than its factorization.

264641503643201 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 594716275.

The product of its (nonzero) digits is 2488320, while the sum is 47.

Adding to 264641503643201 its reverse (102346305146462), we get a palindrome (366987808789663).

The spelling of 264641503643201 in words is "two hundred sixty-four trillion, six hundred forty-one billion, five hundred three million, six hundred forty-three thousand, two hundred one".