1009126001 has 8 divisors (see below), whose sum is σ = 1150677864. Its totient is φ = 876706560.

The previous prime is 1009125983. The next prime is 1009126031. The reversal of 1009126001 is 1006219001.

It can be written as a sum of positive squares in 4 ways, for example, as 172528225 + 836597776 = 13135^2 + 28924^2 .

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 1009126001 - 2⁶ = 1009125937 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1009126031) 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 7 ways as a sum of consecutive naturals, for example, 2282870 + ... + 2283311.

It is an arithmetic number, because the mean of its divisors is an integer number (143834733).

Almost surely, 2^1009126001 is an apocalyptic number.

It is an amenable number.

1009126001 is a deficient number, since it is larger than the sum of its proper divisors (141551863).

1009126001 is a wasteful number, since it uses less digits than its factorization.

1009126001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4566211.

The product of its (nonzero) digits is 108, while the sum is 20.

The square root of 1009126001 is about 31766.7436322957. The cubic root of 1009126001 is about 1003.0327932004.

The spelling of 1009126001 in words is "one billion, nine million, one hundred twenty-six thousand, one".