264407851628017 has 2 divisors, whose sum is σ = 264407851628018. Its totient is φ = 264407851628016.

The previous prime is 264407851627919. The next prime is 264407851628021. The reversal of 264407851628017 is 710826158704462.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 262788707356081 + 1619144271936 = 16210759^2 + 1272456^2 .

It is a cyclic number.

It is not a de Polignac number, because 264407851628017 - 2⁷ = 264407851627889 is a prime.

It is not a weakly prime, because it can be changed into another prime (264407851628047) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 132203925814008 + 132203925814009.

It is an arithmetic number, because the mean of its divisors is an integer number (132203925814009).

Almost surely, 2^{264407851628017} is an apocalyptic number.

It is an amenable number.

264407851628017 is a deficient number, since it is larger than the sum of its proper divisors (1).

264407851628017 is an equidigital number, since it uses as much as digits as its factorization.

264407851628017 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 36126720, while the sum is 61.

The spelling of 264407851628017 in words is "two hundred sixty-four trillion, four hundred seven billion, eight hundred fifty-one million, six hundred twenty-eight thousand, seventeen".