1028003349025 has 27 divisors (see below), whose sum is σ = 1282420498611. Its totient is φ = 817466989680.

The previous prime is 1028003349013. The next prime is 1028003349071. The reversal of 1028003349025 is 5209433008201.

The square root of 1028003349025 is 1013905.

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

It can be written as a sum of positive squares in only one way, i.e., 370081205649 + 657922143376 = 608343^2 + 811124^2 .

It is not a de Polignac number, because 1028003349025 - 2⁹ = 1028003348513 is a prime.

It is a Duffinian number.

It is an unprimeable number.

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 26 ways as a sum of consecutive naturals, for example, 1008834966 + ... + 1008835984.

Almost surely, 2^{1028003349025} is an apocalyptic number.

1028003349025 is the 1013905-th square number.

1028003349025 is the 506953-rd centered octagonal number.

It is an amenable number.

1028003349025 is a deficient number, since it is larger than the sum of its proper divisors (254417149586).

1028003349025 is an frugal number, since it uses more digits than its factorization.

1028003349025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2446 (or 1223 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 37.

The spelling of 1028003349025 in words is "one trillion, twenty-eight billion, three million, three hundred forty-nine thousand, twenty-five".