53105828257 has 2 divisors, whose sum is σ = 53105828258. Its totient is φ = 53105828256.

The previous prime is 53105828221. The next prime is 53105828261. The reversal of 53105828257 is 75282850135.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 28737369441 + 24368458816 = 169521^2 + 156104^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-53105828257 is a prime.

It is a super-3 number, since 3×53105828257³ (a number of 33 digits) contains 333 as substring.

It is not a weakly prime, because it can be changed into another prime (53105828297) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 26552914128 + 26552914129.

It is an arithmetic number, because the mean of its divisors is an integer number (26552914129).

Almost surely, 2^53105828257 is an apocalyptic number.

It is an amenable number.

53105828257 is a deficient number, since it is larger than the sum of its proper divisors (1).

53105828257 is an equidigital number, since it uses as much as digits as its factorization.

53105828257 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 672000, while the sum is 46.

The spelling of 53105828257 in words is "fifty-three billion, one hundred five million, eight hundred twenty-eight thousand, two hundred fifty-seven".