1006412413 has 2 divisors, whose sum is σ = 1006412414. Its totient is φ = 1006412412.

The previous prime is 1006412411. The next prime is 1006412417. The reversal of 1006412413 is 3142146001.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 804403044 + 202009369 = 28362^2 + 14213^2 .

It is a cyclic number.

It is not a de Polignac number, because 1006412413 - 2¹ = 1006412411 is a prime.

Together with 1006412411, it forms a pair of twin primes.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (1006412411) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 503206206 + 503206207.

It is an arithmetic number, because the mean of its divisors is an integer number (503206207).

Almost surely, 2^1006412413 is an apocalyptic number.

It is an amenable number.

1006412413 is a deficient number, since it is larger than the sum of its proper divisors (1).

1006412413 is an equidigital number, since it uses as much as digits as its factorization.

1006412413 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 576, while the sum is 22.

The square root of 1006412413 is about 31724.0037353421. The cubic root of 1006412413 is about 1002.1329184245.

Adding to 1006412413 its reverse (3142146001), we get a palindrome (4148558414).

The spelling of 1006412413 in words is "one billion, six million, four hundred twelve thousand, four hundred thirteen".