52259723031601 has 2 divisors, whose sum is σ = 52259723031602. Its totient is φ = 52259723031600.

The previous prime is 52259723031599. The next prime is 52259723031641. The reversal of 52259723031601 is 10613032795225.

52259723031601 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 52061982729201 + 197740302400 = 7215399^2 + 444680^2 .

It is a cyclic number.

It is not a de Polignac number, because 52259723031601 - 2¹ = 52259723031599 is a prime.

Together with 52259723031599, it forms a pair of twin primes.

It is not a weakly prime, because it can be changed into another prime (52259723031641) 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 as a sum of consecutive naturals, namely, 26129861515800 + 26129861515801.

It is an arithmetic number, because the mean of its divisors is an integer number (26129861515801).

Almost surely, 2^{52259723031601} is an apocalyptic number.

It is an amenable number.

52259723031601 is a deficient number, since it is larger than the sum of its proper divisors (1).

52259723031601 is an equidigital number, since it uses as much as digits as its factorization.

52259723031601 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 680400, while the sum is 46.

The spelling of 52259723031601 in words is "fifty-two trillion, two hundred fifty-nine billion, seven hundred twenty-three million, thirty-one thousand, six hundred one".