35066051005261 has 2 divisors, whose sum is σ = 35066051005262. Its totient is φ = 35066051005260.

The previous prime is 35066051005259. The next prime is 35066051005343. The reversal of 35066051005261 is 16250015066053.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 28825022783236 + 6241028222025 = 5368894^2 + 2498205^2 .

It is a cyclic number.

It is not a de Polignac number, because 35066051005261 - 2¹ = 35066051005259 is a prime.

Together with 35066051005259, it forms a pair of twin primes.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (35066051005211) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 17533025502630 + 17533025502631.

It is an arithmetic number, because the mean of its divisors is an integer number (17533025502631).

Almost surely, 2^{35066051005261} is an apocalyptic number.

It is an amenable number.

35066051005261 is a deficient number, since it is larger than the sum of its proper divisors (1).

35066051005261 is an equidigital number, since it uses as much as digits as its factorization.

35066051005261 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 162000, while the sum is 40.

The spelling of 35066051005261 in words is "thirty-five trillion, sixty-six billion, fifty-one million, five thousand, two hundred sixty-one".