1010077723 has 2 divisors, whose sum is σ = 1010077724. Its totient is φ = 1010077722.

The previous prime is 1010077721. The next prime is 1010077751. The reversal of 1010077723 is 3277700101.

It is an a-pointer prime, because the next prime (1010077751) can be obtained adding 1010077723 to its sum of digits (28).

It is a weak prime.

It is a cyclic number.

It is not a de Polignac number, because 1010077723 - 2¹ = 1010077721 is a prime.

Together with 1010077721, it forms a pair of twin primes.

It is a junction number, because it is equal to n+sod(n) for n = 1010077691 and 1010077700.

It is not a weakly prime, because it can be changed into another prime (1010077721) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 505038861 + 505038862.

It is an arithmetic number, because the mean of its divisors is an integer number (505038862).

Almost surely, 2^1010077723 is an apocalyptic number.

1010077723 is a deficient number, since it is larger than the sum of its proper divisors (1).

1010077723 is an equidigital number, since it uses as much as digits as its factorization.

1010077723 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2058, while the sum is 28.

The square root of 1010077723 is about 31781.7199503111. The cubic root of 1010077723 is about 1003.3480192575.

Adding to 1010077723 its reverse (3277700101), we get a palindrome (4287777824).

The spelling of 1010077723 in words is "one billion, ten million, seventy-seven thousand, seven hundred twenty-three".