52800193 has 2 divisors, whose sum is σ = 52800194. Its totient is φ = 52800192.

The previous prime is 52800191. The next prime is 52800233. The reversal of 52800193 is 39100825.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 49660209 + 3139984 = 7047^2 + 1772^2 .

It is a cyclic number.

It is not a de Polignac number, because 52800193 - 2¹ = 52800191 is a prime.

Together with 52800191, it forms a pair of twin primes.

It is equal to p_3158812 and since 52800193 and 3158812 have the same sum of digits, it is a Honaker prime.

It is not a weakly prime, because it can be changed into another prime (52800191) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 26400096 + 26400097.

It is an arithmetic number, because the mean of its divisors is an integer number (26400097).

Almost surely, 2^52800193 is an apocalyptic number.

It is an amenable number.

52800193 is a deficient number, since it is larger than the sum of its proper divisors (1).

52800193 is an equidigital number, since it uses as much as digits as its factorization.

52800193 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 2160, while the sum is 28.

The square root of 52800193 is about 7266.3741301973. The cubic root of 52800193 is about 375.1559481752.

The spelling of 52800193 in words is "fifty-two million, eight hundred thousand, one hundred ninety-three".