52523432513 has 2 divisors, whose sum is σ = 52523432514. Its totient is φ = 52523432512.

The previous prime is 52523432459. The next prime is 52523432561. The reversal of 52523432513 is 31523432525.

52523432513 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 32321927089 + 20201505424 = 179783^2 + 142132^2 .

It is a cyclic number.

It is not a de Polignac number, because 52523432513 - 2⁸ = 52523432257 is a prime.

It is not a weakly prime, because it can be changed into another prime (52523432593) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 26261716256 + 26261716257.

It is an arithmetic number, because the mean of its divisors is an integer number (26261716257).

Almost surely, 2^52523432513 is an apocalyptic number.

It is an amenable number.

52523432513 is a deficient number, since it is larger than the sum of its proper divisors (1).

52523432513 is an equidigital number, since it uses as much as digits as its factorization.

52523432513 is an evil number, because the sum of its binary digits is even.

The product of its digits is 108000, while the sum is 35.

The spelling of 52523432513 in words is "fifty-two billion, five hundred twenty-three million, four hundred thirty-two thousand, five hundred thirteen".