1006596821 has 2 divisors, whose sum is σ = 1006596822. Its totient is φ = 1006596820.

The previous prime is 1006596743. The next prime is 1006596887. The reversal of 1006596821 is 1286956001.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1005777796 + 819025 = 31714^2 + 905^2 .

It is an emirp because it is prime and its reverse (1286956001) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 1006596821 - 2²⁶ = 939487957 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (1006596121) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 503298410 + 503298411.

It is an arithmetic number, because the mean of its divisors is an integer number (503298411).

Almost surely, 2^1006596821 is an apocalyptic number.

It is an amenable number.

1006596821 is a deficient number, since it is larger than the sum of its proper divisors (1).

1006596821 is an equidigital number, since it uses as much as digits as its factorization.

1006596821 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 25920, while the sum is 38.

The square root of 1006596821 is about 31726.9100449445. The cubic root of 1006596821 is about 1002.1941226382.

The spelling of 1006596821 in words is "one billion, six million, five hundred ninety-six thousand, eight hundred twenty-one".