1006413352 has 48 divisors (see below), whose sum is σ = 2197948500. Its totient is φ = 430762752.

The previous prime is 1006413329. The next prime is 1006413403. The reversal of 1006413352 is 2533146001.

It can be written as a sum of positive squares in 2 ways, for example, as 729324036 + 277089316 = 27006^2 + 16646^2 .

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 480724 + ... + 482812.

Almost surely, 2^1006413352 is an apocalyptic number.

It is an amenable number.

1006413352 is an abundant number, since it is smaller than the sum of its proper divisors (1191535148).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1006413352 is a wasteful number, since it uses less digits than its factorization.

1006413352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3338 (or 3327 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 25.

The square root of 1006413352 is about 31724.0185348578. The cubic root of 1006413352 is about 1002.1332300935.

Adding to 1006413352 its reverse (2533146001), we get a palindrome (3539559353).

The spelling of 1006413352 in words is "one billion, six million, four hundred thirteen thousand, three hundred fifty-two".