3782052558001 has 2 divisors, whose sum is σ = 3782052558002. Its totient is φ = 3782052558000.

The previous prime is 3782052557999. The next prime is 3782052558013. The reversal of 3782052558001 is 1008552502873.

3782052558001 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 3741609336976 + 40443221025 = 1934324^2 + 201105^2 .

It is an emirp because it is prime and its reverse (1008552502873) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 3782052558001 - 2¹ = 3782052557999 is a prime.

Together with 3782052557999, it forms a pair of twin primes.

It is not a weakly prime, because it can be changed into another prime (3782052558041) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1891026279000 + 1891026279001.

It is an arithmetic number, because the mean of its divisors is an integer number (1891026279001).

Almost surely, 2^{3782052558001} is an apocalyptic number.

It is an amenable number.

3782052558001 is a deficient number, since it is larger than the sum of its proper divisors (1).

3782052558001 is an equidigital number, since it uses as much as digits as its factorization.

3782052558001 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 672000, while the sum is 46.

The spelling of 3782052558001 in words is "three trillion, seven hundred eighty-two billion, fifty-two million, five hundred fifty-eight thousand, one".