52620113052257 has 2 divisors, whose sum is σ = 52620113052258. Its totient is φ = 52620113052256.

The previous prime is 52620113052203. The next prime is 52620113052259. The reversal of 52620113052257 is 75225031102625.

52620113052257 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., 31267433209441 + 21352679842816 = 5591729^2 + 4620896^2 .

It is a cyclic number.

It is not a de Polignac number, because 52620113052257 - 2⁴² = 48222066541153 is a prime.

Together with 52620113052259, it forms a pair of twin primes.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (52620113052259) 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, 26310056526128 + 26310056526129.

It is an arithmetic number, because the mean of its divisors is an integer number (26310056526129).

Almost surely, 2^{52620113052257} is an apocalyptic number.

It is an amenable number.

52620113052257 is a deficient number, since it is larger than the sum of its proper divisors (1).

52620113052257 is an equidigital number, since it uses as much as digits as its factorization.

52620113052257 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 252000, while the sum is 41.

The spelling of 52620113052257 in words is "fifty-two trillion, six hundred twenty billion, one hundred thirteen million, fifty-two thousand, two hundred fifty-seven".