1073741825 has 48 divisors (see below), whose sum is σ = 1494039792. Its totient is φ = 760320000.

The previous prime is 1073741789. The next prime is 1073741827. The reversal of 1073741825 is 5281473701.

1073741825 is nontrivially palindromic in base 2, base 4 and base 8.

It is a Cunningham number, because it is equal to 2³⁰+1.

It can be written as a sum of positive squares in 24 ways, for example, as 1058656369 + 15085456 = 32537^2 + 3884^2 .

It is not a de Polignac number, because 1073741825 - 2¹⁸ = 1073479681 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1073741827) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (2) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 812165 + ... + 813485.

It is an arithmetic number, because the mean of its divisors is an integer number (31125829).

It is a Proth number, since it is equal to 1 ⋅ 2³⁰ + 1 and 1 < 2³⁰.

Almost surely, 2^1073741825 is an apocalyptic number.

It is an amenable number.

1073741825 is a deficient number, since it is larger than the sum of its proper divisors (420297967).

1073741825 is a wasteful number, since it uses less digits than its factorization.

1073741825 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1446 (or 1441 counting only the distinct ones).

The product of its (nonzero) digits is 47040, while the sum is 38.

The square root of 1073741825 is about 32768.0000152588. Note that the first 4 decimals coincide. The cubic root of 1073741825 is about 1024.0000003179. Note that the first 6 decimals are identical.

The spelling of 1073741825 in words is "one billion, seventy-three million, seven hundred forty-one thousand, eight hundred twenty-five".