1006056001 has 8 divisors (see below), whose sum is σ = 1010102184. Its totient is φ = 1002017280.

The previous prime is 1006055969. The next prime is 1006056047. The reversal of 1006056001 is 1006506001.

It can be written as a sum of positive squares in 4 ways, for example, as 108993600 + 897062401 = 10440^2 + 29951^2 .

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 1006056001 - 2⁵ = 1006055969 is a prime.

It is a super-2 number, since 2×1006056001² = 2024297354296224002, which contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 1006056001.

It is not an unprimeable number, because it can be changed into a prime (1006056071) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 576991 + ... + 578731.

It is an arithmetic number, because the mean of its divisors is an integer number (126262773).

Almost surely, 2^1006056001 is an apocalyptic number.

It is an amenable number.

1006056001 is a deficient number, since it is larger than the sum of its proper divisors (4046183).

1006056001 is a wasteful number, since it uses less digits than its factorization.

1006056001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3731.

The product of its (nonzero) digits is 180, while the sum is 19.

The square root of 1006056001 is about 31718.3858511117. The cubic root of 1006056001 is about 1002.0146056386.

The spelling of 1006056001 in words is "one billion, six million, fifty-six thousand, one".