264129564901 has 2 divisors, whose sum is σ = 264129564902. Its totient is φ = 264129564900.

The previous prime is 264129564889. The next prime is 264129564913. The reversal of 264129564901 is 109465921462.

It is a happy number.

It is a balanced prime because it is at equal distance from previous prime (264129564889) and next prime (264129564913).

It can be written as a sum of positive squares in only one way, i.e., 263769552225 + 360012676 = 513585^2 + 18974^2 .

It is a cyclic number.

It is not a de Polignac number, because 264129564901 - 2¹⁵ = 264129532133 is a prime.

It is a super-2 number, since 2×264129564901² (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (264129564991) 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 as a sum of consecutive naturals, namely, 132064782450 + 132064782451.

It is an arithmetic number, because the mean of its divisors is an integer number (132064782451).

Almost surely, 2^264129564901 is an apocalyptic number.

It is an amenable number.

264129564901 is a deficient number, since it is larger than the sum of its proper divisors (1).

264129564901 is an equidigital number, since it uses as much as digits as its factorization.

264129564901 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 933120, while the sum is 49.

The spelling of 264129564901 in words is "two hundred sixty-four billion, one hundred twenty-nine million, five hundred sixty-four thousand, nine hundred one".