1006825329 has 8 divisors (see below), whose sum is σ = 1491593120. Its totient is φ = 671216868.

The previous prime is 1006825321. The next prime is 1006825343. The reversal of 1006825329 is 9235286001.

It is not a de Polignac number, because 1006825329 - 2³ = 1006825321 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 1006825293 and 1006825302.

It is not an unprimeable number, because it can be changed into a prime (1006825321) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 18644887 + ... + 18644940.

It is an arithmetic number, because the mean of its divisors is an integer number (186449140).

Almost surely, 2^1006825329 is an apocalyptic number.

It is an amenable number.

1006825329 is a deficient number, since it is larger than the sum of its proper divisors (484767791).

1006825329 is an equidigital number, since it uses as much as digits as its factorization.

1006825329 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 37289836 (or 37289830 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The square root of 1006825329 is about 31730.5110106976. The cubic root of 1006825329 is about 1002.2699530809.

The spelling of 1006825329 in words is "one billion, six million, eight hundred twenty-five thousand, three hundred twenty-nine".