82777461133 has 2 divisors, whose sum is σ = 82777461134. Its totient is φ = 82777461132.

The previous prime is 82777461131. The next prime is 82777461163. The reversal of 82777461133 is 33116477728.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 75249816489 + 7527644644 = 274317^2 + 86762^2 .

It is a cyclic number.

It is not a de Polignac number, because 82777461133 - 2¹ = 82777461131 is a prime.

Together with 82777461131, it forms a pair of twin primes.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (82777461131) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 41388730566 + 41388730567.

It is an arithmetic number, because the mean of its divisors is an integer number (41388730567).

Almost surely, 2^82777461133 is an apocalyptic number.

It is an amenable number.

82777461133 is a deficient number, since it is larger than the sum of its proper divisors (1).

82777461133 is an equidigital number, since it uses as much as digits as its factorization.

82777461133 is an evil number, because the sum of its binary digits is even.

The product of its digits is 1185408, while the sum is 49.

The spelling of 82777461133 in words is "eighty-two billion, seven hundred seventy-seven million, four hundred sixty-one thousand, one hundred thirty-three".