1028672635225 has 27 divisors (see below), whose sum is σ = 1294225655421. Its totient is φ = 811063444800.

The previous prime is 1028672635093. The next prime is 1028672635231. The reversal of 1028672635225 is 5225362768201.

The square root of 1028672635225 is 1014235.

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

1028672635225 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 1295784009 + 1027376851216 = 35997^2 + 1013596^2 .

It is not a de Polignac number, because 1028672635225 - 2⁹ = 1028672634713 is a prime.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 360051997 + ... + 360054853.

Almost surely, 2^{1028672635225} is an apocalyptic number.

1028672635225 is the 1014235-th square number.

1028672635225 is the 507118-th centered octagonal number.

It is an amenable number.

1028672635225 is a deficient number, since it is larger than the sum of its proper divisors (265553020196).

1028672635225 is an frugal number, since it uses more digits than its factorization.

1028672635225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5866 (or 2933 counting only the distinct ones).

The product of its (nonzero) digits is 2419200, while the sum is 49.

Multiplying 1028672635225 by its sum of digits (49), we get a square (50404959126025 = 7099645²).

The spelling of 1028672635225 in words is "one trillion, twenty-eight billion, six hundred seventy-two million, six hundred thirty-five thousand, two hundred twenty-five".