1010000077 has 2 divisors, whose sum is σ = 1010000078. Its totient is φ = 1010000076.

The previous prime is 1010000053. The next prime is 1010000083. The reversal of 1010000077 is 7700000101.

It is a happy number.

1010000077 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 can be written as a sum of positive squares in only one way, i.e., 718990596 + 291009481 = 26814^2 + 17059^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-1010000077 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 1010000077.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (1010000477) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 505000038 + 505000039.

It is an arithmetic number, because the mean of its divisors is an integer number (505000039).

Almost surely, 2^1010000077 is an apocalyptic number.

It is an amenable number.

1010000077 is a deficient number, since it is larger than the sum of its proper divisors (1).

1010000077 is an equidigital number, since it uses as much as digits as its factorization.

1010000077 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 49, while the sum is 16.

The square root of 1010000077 is about 31780.4983755762. The cubic root of 1010000077 is about 1003.3223090391.

Adding to 1010000077 its reverse (7700000101), we get a palindrome (8710000178).

The spelling of 1010000077 in words is "one billion, ten million, seventy-seven", and thus it is an aban number and an uban number.