1006413122 has 32 divisors (see below), whose sum is σ = 1778825664. Its totient is φ = 421012800.

The previous prime is 1006413059. The next prime is 1006413127. The reversal of 1006413122 is 2213146001.

It is a junction number, because it is equal to n+sod(n) for n = 1006413094 and 1006413103.

It is not an unprimeable number, because it can be changed into a prime (1006413127) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 94172 + ... + 104312.

It is an arithmetic number, because the mean of its divisors is an integer number (55588302).

Almost surely, 2^1006413122 is an apocalyptic number.

1006413122 is a deficient number, since it is larger than the sum of its proper divisors (772412542).

1006413122 is a wasteful number, since it uses less digits than its factorization.

1006413122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10514.

The product of its (nonzero) digits is 288, while the sum is 20.

The square root of 1006413122 is about 31724.0149098439. The cubic root of 1006413122 is about 1002.1331537529.

Adding to 1006413122 its reverse (2213146001), we get a palindrome (3219559123).

The spelling of 1006413122 in words is "one billion, six million, four hundred thirteen thousand, one hundred twenty-two".