53765723302337 has 2 divisors, whose sum is σ = 53765723302338. Its totient is φ = 53765723302336.

The previous prime is 53765723302301. The next prime is 53765723302393. The reversal of 53765723302337 is 73320332756735.

53765723302337 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an a-pointer prime, because the next prime (53765723302393) can be obtained adding 53765723302337 to its sum of digits (56).

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 37962800668816 + 15802922633521 = 6161396^2 + 3975289^2 .

It is a cyclic number.

It is not a de Polignac number, because 53765723302337 - 2²⁸ = 53765454866881 is a prime.

It is not a weakly prime, because it can be changed into another prime (53765723302237) 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, 26882861651168 + 26882861651169.

It is an arithmetic number, because the mean of its divisors is an integer number (26882861651169).

Almost surely, 2^{53765723302337} is an apocalyptic number.

It is an amenable number.

53765723302337 is a deficient number, since it is larger than the sum of its proper divisors (1).

53765723302337 is an equidigital number, since it uses as much as digits as its factorization.

53765723302337 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 50009400, while the sum is 56.

The spelling of 53765723302337 in words is "fifty-three trillion, seven hundred sixty-five billion, seven hundred twenty-three million, three hundred two thousand, three hundred thirty-seven".