1009109129 has 16 divisors (see below), whose sum is σ = 1179188736. Its totient is φ = 845553600.

The previous prime is 1009109083. The next prime is 1009109141. The reversal of 1009109129 is 9219019001.

It is a cyclic number.

It is not a de Polignac number, because 1009109129 - 2⁸ = 1009108873 is a prime.

It is a super-2 number, since 2×1009109129² = 2036602468462277282, which contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 1009109095 and 1009109104.

It is not an unprimeable number, because it can be changed into a prime (1009109159) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 453239 + ... + 455459.

It is an arithmetic number, because the mean of its divisors is an integer number (73699296).

Almost surely, 2^1009109129 is an apocalyptic number.

It is an amenable number.

1009109129 is a deficient number, since it is larger than the sum of its proper divisors (170079607).

1009109129 is a wasteful number, since it uses less digits than its factorization.

1009109129 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3656.

The product of its (nonzero) digits is 1458, while the sum is 32.

The square root of 1009109129 is about 31766.4780704440. The cubic root of 1009109129 is about 1003.0272031275.

The spelling of 1009109129 in words is "one billion, nine million, one hundred nine thousand, one hundred twenty-nine".