35052137 has 2 divisors, whose sum is σ = 35052138. Its totient is φ = 35052136.

The previous prime is 35052109. The next prime is 35052139. The reversal of 35052137 is 73125053.

35052137 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., 31147561 + 3904576 = 5581^2 + 1976^2 .

It is a cyclic number.

It is not a de Polignac number, because 35052137 - 2²⁰ = 34003561 is a prime.

Together with 35052139, 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 (35052139) 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, 17526068 + 17526069.

It is an arithmetic number, because the mean of its divisors is an integer number (17526069).

Almost surely, 2^35052137 is an apocalyptic number.

It is an amenable number.

35052137 is a deficient number, since it is larger than the sum of its proper divisors (1).

35052137 is an equidigital number, since it uses as much as digits as its factorization.

35052137 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 3150, while the sum is 26.

The square root of 35052137 is about 5920.4845240909. The cubic root of 35052137 is about 327.2689728970.

The spelling of 35052137 in words is "thirty-five million, fifty-two thousand, one hundred thirty-seven".