3791875820081 has 2 divisors, whose sum is σ = 3791875820082. Its totient is φ = 3791875820080.

The previous prime is 3791875820011. The next prime is 3791875820087. The reversal of 3791875820081 is 1800285781973.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 3314526101056 + 477349719025 = 1820584^2 + 690905^2 .

It is a cyclic number.

It is not a de Polignac number, because 3791875820081 - 2¹⁸ = 3791875557937 is a prime.

It is a super-2 number, since 2×3791875820081² (a number of 26 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 3791875820081.

It is not a weakly prime, because it can be changed into another prime (3791875820087) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1895937910040 + 1895937910041.

It is an arithmetic number, because the mean of its divisors is an integer number (1895937910041).

Almost surely, 2^{3791875820081} is an apocalyptic number.

It is an amenable number.

3791875820081 is a deficient number, since it is larger than the sum of its proper divisors (1).

3791875820081 is an equidigital number, since it uses as much as digits as its factorization.

3791875820081 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 6773760, while the sum is 59.

The spelling of 3791875820081 in words is "three trillion, seven hundred ninety-one billion, eight hundred seventy-five million, eight hundred twenty thousand, eighty-one".