65135488588013 has 2 divisors, whose sum is σ = 65135488588014. Its totient is φ = 65135488588012.

The previous prime is 65135488587977. The next prime is 65135488588097. The reversal of 65135488588013 is 31088588453156.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 61987482943369 + 3148005644644 = 7873213^2 + 1774262^2 .

It is a cyclic number.

It is not a de Polignac number, because 65135488588013 - 2²⁸ = 65135220152557 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (65135488528013) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 32567744294006 + 32567744294007.

It is an arithmetic number, because the mean of its divisors is an integer number (32567744294007).

Almost surely, 2^{65135488588013} is an apocalyptic number.

It is an amenable number.

65135488588013 is a deficient number, since it is larger than the sum of its proper divisors (1).

65135488588013 is an equidigital number, since it uses as much as digits as its factorization.

65135488588013 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 110592000, while the sum is 65.

The spelling of 65135488588013 in words is "sixty-five trillion, one hundred thirty-five billion, four hundred eighty-eight million, five hundred eighty-eight thousand, thirteen".