3815301818281 has 2 divisors, whose sum is σ = 3815301818282. Its totient is φ = 3815301818280.

The previous prime is 3815301818249. The next prime is 3815301818297. The reversal of 3815301818281 is 1828181035183.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 3749706925056 + 65594893225 = 1936416^2 + 256115^2 .

It is an emirp because it is prime and its reverse (1828181035183) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 3815301818281 - 2⁵ = 3815301818249 is a prime.

It is a super-3 number, since 3×3815301818281³ (a number of 39 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is not a weakly prime, because it can be changed into another prime (3815301858281) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1907650909140 + 1907650909141.

It is an arithmetic number, because the mean of its divisors is an integer number (1907650909141).

Almost surely, 2^{3815301818281} is an apocalyptic number.

It is an amenable number.

3815301818281 is a deficient number, since it is larger than the sum of its proper divisors (1).

3815301818281 is an equidigital number, since it uses as much as digits as its factorization.

3815301818281 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 368640, while the sum is 49.

The spelling of 3815301818281 in words is "three trillion, eight hundred fifteen billion, three hundred one million, eight hundred eighteen thousand, two hundred eighty-one".