53052829 has 2 divisors, whose sum is σ = 53052830. Its totient is φ = 53052828.

The previous prime is 53052827. The next prime is 53052863. The reversal of 53052829 is 92825035.

53052829 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 (53052863) can be obtained adding 53052829 to its sum of digits (34).

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 36324729 + 16728100 = 6027^2 + 4090^2 .

It is a cyclic number.

It is not a de Polignac number, because 53052829 - 2¹ = 53052827 is a prime.

Together with 53052827, it forms a pair of twin primes.

It is a junction number, because it is equal to n+sod(n) for n = 53052794 and 53052803.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (53052827) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 26526414 + 26526415.

It is an arithmetic number, because the mean of its divisors is an integer number (26526415).

Almost surely, 2^53052829 is an apocalyptic number.

It is an amenable number.

53052829 is a deficient number, since it is larger than the sum of its proper divisors (1).

53052829 is an equidigital number, since it uses as much as digits as its factorization.

53052829 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 21600, while the sum is 34.

The square root of 53052829 is about 7283.7372961962. The cubic root of 53052829 is about 375.7533395247.

The spelling of 53052829 in words is "fifty-three million, fifty-two thousand, eight hundred twenty-nine".