524005723010113 has 2 divisors, whose sum is σ = 524005723010114. Its totient is φ = 524005723010112.

The previous prime is 524005723010027. The next prime is 524005723010137. The reversal of 524005723010113 is 311010327500425.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 448735037456689 + 75270685553424 = 21183367^2 + 8675868^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-524005723010113 is a prime.

It is not a weakly prime, because it can be changed into another prime (524005723010513) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 262002861505056 + 262002861505057.

It is an arithmetic number, because the mean of its divisors is an integer number (262002861505057).

Almost surely, 2^{524005723010113} is an apocalyptic number.

It is an amenable number.

524005723010113 is a deficient number, since it is larger than the sum of its proper divisors (1).

524005723010113 is an equidigital number, since it uses as much as digits as its factorization.

524005723010113 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 25200, while the sum is 34.

The spelling of 524005723010113 in words is "five hundred twenty-four trillion, five billion, seven hundred twenty-three million, ten thousand, one hundred thirteen".