52083137 has 2 divisors, whose sum is σ = 52083138. Its totient is φ = 52083136.

The previous prime is 52083133. The next prime is 52083139. The reversal of 52083137 is 73138025.

52083137 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., 47348161 + 4734976 = 6881^2 + 2176^2 .

It is a cyclic number.

It is not a de Polignac number, because 52083137 - 2² = 52083133 is a prime.

Together with 52083139, 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 (52083133) 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, 26041568 + 26041569.

It is an arithmetic number, because the mean of its divisors is an integer number (26041569).

Almost surely, 2^52083137 is an apocalyptic number.

It is an amenable number.

52083137 is a deficient number, since it is larger than the sum of its proper divisors (1).

52083137 is an equidigital number, since it uses as much as digits as its factorization.

52083137 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 5040, while the sum is 29.

The square root of 52083137 is about 7216.8647624852. The cubic root of 52083137 is about 373.4499262930.

The spelling of 52083137 in words is "fifty-two million, eighty-three thousand, one hundred thirty-seven".