1006131029 has 8 divisors (see below), whose sum is σ = 1014071040. Its totient is φ = 998212896.

The previous prime is 1006131023. The next prime is 1006131031. The reversal of 1006131029 is 9201316001.

It is a happy number.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 1006131029 - 2⁴ = 1006131013 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 1006130995 and 1006131013.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1006131023) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 93857 + ... + 104025.

It is an arithmetic number, because the mean of its divisors is an integer number (126758880).

Almost surely, 2^1006131029 is an apocalyptic number.

It is an amenable number.

1006131029 is a deficient number, since it is larger than the sum of its proper divisors (7940011).

1006131029 is a wasteful number, since it uses less digits than its factorization.

1006131029 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10939.

The product of its (nonzero) digits is 324, while the sum is 23.

The square root of 1006131029 is about 31719.5685500292. The cubic root of 1006131029 is about 1002.0395138886.

The spelling of 1006131029 in words is "one billion, six million, one hundred thirty-one thousand, twenty-nine".