807002727133 has 2 divisors, whose sum is σ = 807002727134. Its totient is φ = 807002727132.

The previous prime is 807002727077. The next prime is 807002727149. The reversal of 807002727133 is 331727200708.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 797702632164 + 9300094969 = 893142^2 + 96437^2 .

It is a cyclic number.

It is not a de Polignac number, because 807002727133 - 2²⁵ = 806969172701 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (807002737133) 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, 403501363566 + 403501363567.

It is an arithmetic number, because the mean of its divisors is an integer number (403501363567).

Almost surely, 2^807002727133 is an apocalyptic number.

It is an amenable number.

807002727133 is a deficient number, since it is larger than the sum of its proper divisors (1).

807002727133 is an equidigital number, since it uses as much as digits as its factorization.

807002727133 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 98784, while the sum is 40.

The spelling of 807002727133 in words is "eight hundred seven billion, two million, seven hundred twenty-seven thousand, one hundred thirty-three".