1056001001 has 24 divisors (see below), whose sum is σ = 1215130560. Its totient is φ = 915282720.

The previous prime is 1056000989. The next prime is 1056001031. The reversal of 1056001001 is 1001006501.

It is not a de Polignac number, because 1056001001 - 2⁶ = 1056000937 is a prime.

It is a super-2 number, since 2×1056001001² = 2230276228226004002, which contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1056001031) 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 23 ways as a sum of consecutive naturals, for example, 1705670 + ... + 1706288.

It is an arithmetic number, because the mean of its divisors is an integer number (50630440).

Almost surely, 2^1056001001 is an apocalyptic number.

1056001001 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

1056001001 is a deficient number, since it is larger than the sum of its proper divisors (159129559).

1056001001 is a wasteful number, since it uses less digits than its factorization.

1056001001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1277 (or 1266 counting only the distinct ones).

The product of its (nonzero) digits is 30, while the sum is 14.

The square root of 1056001001 is about 32496.1690203630. The cubic root of 1056001001 is about 1018.3289956954.

Adding to 1056001001 its reverse (1001006501), we get a palindrome (2057007502).

It can be divided in two parts, 105600 and 1001, that added together give a palindrome (106601).

The spelling of 1056001001 in words is "one billion, fifty-six million, one thousand, one".