1003056331729 has 3 divisors (see below), whose sum is σ = 1003057333257. Its totient is φ = 1003055330202.

The previous prime is 1003056331687. The next prime is 1003056331733. The reversal of 1003056331729 is 9271336503001.

The square root of 1003056331729 is 1001527.

It is a perfect power (a square), and thus also a powerful number.

It is a semiprime because it is the product of two primes, and also a brilliant number, because the two primes have the same length.

It is a de Polignac number, because none of the positive numbers 2^k-1003056331729 is a prime.

It is a super-2 number, since 2×1003056331729² (a number of 25 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 1003056331691 and 1003056331700.

It is not an unprimeable number, because it can be changed into a prime (1003056331789) by changing a digit.

It is a polite number, since it can be written in 2 ways as a sum of consecutive naturals, for example, 500764 + ... + 1502290.

It is an arithmetic number, because the mean of its divisors is an integer number (334352444419).

Almost surely, 2^{1003056331729} is an apocalyptic number.

1003056331729 is the 1001527-th square number.

1003056331729 is the 500764-th centered octagonal number.

It is an amenable number.

1003056331729 is a deficient number, since it is larger than the sum of its proper divisors (1001528).

1003056331729 is an frugal number, since it uses more digits than its factorization.

1003056331729 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2003054 (or 1001527 counting only the distinct ones).

The product of its (nonzero) digits is 102060, while the sum is 40.

The spelling of 1003056331729 in words is "one trillion, three billion, fifty-six million, three hundred thirty-one thousand, seven hundred twenty-nine".