1006411349 has 2 divisors, whose sum is σ = 1006411350. Its totient is φ = 1006411348.

The previous prime is 1006411337. The next prime is 1006411363. The reversal of 1006411349 is 9431146001.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 785680900 + 220730449 = 28030^2 + 14857^2 .

It is an emirp because it is prime and its reverse (9431146001) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 1006411349 - 2⁴ = 1006411333 is a prime.

It is a Sophie Germain prime.

It is a Curzon number.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (1006411309) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 503205674 + 503205675.

It is an arithmetic number, because the mean of its divisors is an integer number (503205675).

Almost surely, 2^1006411349 is an apocalyptic number.

It is an amenable number.

1006411349 is a deficient number, since it is larger than the sum of its proper divisors (1).

1006411349 is an equidigital number, since it uses as much as digits as its factorization.

1006411349 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 2592, while the sum is 29.

The square root of 1006411349 is about 31723.9869657015. The cubic root of 1006411349 is about 1002.1325652659.

The spelling of 1006411349 in words is "one billion, six million, four hundred eleven thousand, three hundred forty-nine".