260540752008029 has 2 divisors, whose sum is σ = 260540752008030. Its totient is φ = 260540752008028.

The previous prime is 260540752007953. The next prime is 260540752008037. The reversal of 260540752008029 is 920800257045062.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 256927718971225 + 3613033036804 = 16028965^2 + 1900798^2 .

It is a cyclic number.

It is not a de Polignac number, because 260540752008029 - 2²⁰ = 260540750959453 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (260540752008059) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 130270376004014 + 130270376004015.

It is an arithmetic number, because the mean of its divisors is an integer number (130270376004015).

Almost surely, 2^{260540752008029} is an apocalyptic number.

It is an amenable number.

260540752008029 is a deficient number, since it is larger than the sum of its proper divisors (1).

260540752008029 is an equidigital number, since it uses as much as digits as its factorization.

260540752008029 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2419200, while the sum is 50.

The spelling of 260540752008029 in words is "two hundred sixty trillion, five hundred forty billion, seven hundred fifty-two million, eight thousand, twenty-nine".