1006635629 has 2 divisors, whose sum is σ = 1006635630. Its totient is φ = 1006635628.

The previous prime is 1006635607. The next prime is 1006635631. The reversal of 1006635629 is 9265366001.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 623650729 + 382984900 = 24973^2 + 19570^2 .

It is an emirp because it is prime and its reverse (9265366001) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 1006635629 - 2²⁰ = 1005587053 is a prime.

Together with 1006635631, it forms a pair of twin primes.

It is a Chen prime.

It is a junction number, because it is equal to n+sod(n) for n = 1006635592 and 1006635601.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (1006635659) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 503317814 + 503317815.

It is an arithmetic number, because the mean of its divisors is an integer number (503317815).

Almost surely, 2^1006635629 is an apocalyptic number.

It is an amenable number.

1006635629 is a deficient number, since it is larger than the sum of its proper divisors (1).

1006635629 is an equidigital number, since it uses as much as digits as its factorization.

1006635629 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 58320, while the sum is 38.

The square root of 1006635629 is about 31727.5216334336. The cubic root of 1006635629 is about 1002.2070018926.

The spelling of 1006635629 in words is "one billion, six million, six hundred thirty-five thousand, six hundred twenty-nine".