814509836827 has 2 divisors, whose sum is σ = 814509836828. Its totient is φ = 814509836826.

The previous prime is 814509836783. The next prime is 814509836849. The reversal of 814509836827 is 728638905418.

814509836827 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-814509836827 is a prime.

It is not a weakly prime, because it can be changed into another prime (814539836827) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 407254918413 + 407254918414.

It is an arithmetic number, because the mean of its divisors is an integer number (407254918414).

It is a 1-persistent number, because it is pandigital, but 2⋅814509836827 = 1629019673654 is not.

Almost surely, 2^814509836827 is an apocalyptic number.

814509836827 is a deficient number, since it is larger than the sum of its proper divisors (1).

814509836827 is an equidigital number, since it uses as much as digits as its factorization.

814509836827 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 23224320, while the sum is 61.

The spelling of 814509836827 in words is "eight hundred fourteen billion, five hundred nine million, eight hundred thirty-six thousand, eight hundred twenty-seven".