52564036602401 has 16 divisors (see below), whose sum is σ = 53729384617296. Its totient is φ = 51405132420096.

The previous prime is 52564036602383. The next prime is 52564036602433. The reversal of 52564036602401 is 10420663046525.

It is a happy number.

52564036602401 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 175392602401 + 52388644000000 = 418799^2 + 7238000^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-52564036602401 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (52564036602491) 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 in 15 ways as a sum of consecutive naturals, for example, 441755351 + ... + 441874323.

It is an arithmetic number, because the mean of its divisors is an integer number (3358086538581).

Almost surely, 2^{52564036602401} is an apocalyptic number.

It is an amenable number.

52564036602401 is a deficient number, since it is larger than the sum of its proper divisors (1165348014895).

52564036602401 is a wasteful number, since it uses less digits than its factorization.

52564036602401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 145972.

The product of its (nonzero) digits is 1036800, while the sum is 44.

Adding to 52564036602401 its reverse (10420663046525), we get a palindrome (62984699648926).

The spelling of 52564036602401 in words is "fifty-two trillion, five hundred sixty-four billion, thirty-six million, six hundred two thousand, four hundred one".