35051 has 2 divisors, whose sum is σ = 35052. Its totient is φ = 35050.

The previous prime is 35027. The next prime is 35053. The reversal of 35051 is 15053.

35051 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 is an emirp because it is prime and its reverse (15053) is a distict prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^{k}-35051 is a prime.

Together with 35053, it forms a pair of twin primes.

It is a Chen prime.

It is an inconsummate number, since it does not exist a number *n* which divided by its sum of digits gives 35051.

It is not a weakly prime, because it can be changed into another prime (35053) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 17525 + 17526.

It is an arithmetic number, because the mean of its divisors is an integer number (17526).

2^{35051} is an apocalyptic number.

35051 is a deficient number, since it is larger than the sum of its proper divisors (1).

35051 is an equidigital number, since it uses as much as digits as its factorization.

35051 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 75, while the sum is 14.

The square root of 35051 is about 187.2191229549. The cubic root of 35051 is about 32.7265434274.

The spelling of 35051 in words is "thirty-five thousand, fifty-one".

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