815141456184101 has 2 divisors, whose sum is σ = 815141456184102. Its totient is φ = 815141456184100.

The previous prime is 815141456184091. The next prime is 815141456184103. The reversal of 815141456184101 is 101481654141518.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 779824893369025 + 35316562815076 = 27925345^2 + 5942774^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-815141456184101 is a prime.

Together with 815141456184103, it forms a pair of twin primes.

It is a Chen prime.

It is a self number, because there is not a number n which added to its sum of digits gives 815141456184101.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (815141456184103) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 407570728092050 + 407570728092051.

It is an arithmetic number, because the mean of its divisors is an integer number (407570728092051).

Almost surely, 2^{815141456184101} is an apocalyptic number.

It is an amenable number.

815141456184101 is a deficient number, since it is larger than the sum of its proper divisors (1).

815141456184101 is an equidigital number, since it uses as much as digits as its factorization.

815141456184101 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 614400, while the sum is 50.

The spelling of 815141456184101 in words is "eight hundred fifteen trillion, one hundred forty-one billion, four hundred fifty-six million, one hundred eighty-four thousand, one hundred one".