38933209225 has 81 divisors (see below), whose sum is σ = 53445967911. Its totient is φ = 28129226400.

The previous prime is 38933209151. The next prime is 38933209279. The reversal of 38933209225 is 52290233983.

The square root of 38933209225 is 197315.

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., 14015955321 + 24917253904 = 118389^2 + 157852^2 .

It is not a de Polignac number, because 38933209225 - 2¹¹ = 38933207177 is a prime.

It is an unprimeable number.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 581092642 + ... + 581092708.

Almost surely, 2^38933209225 is an apocalyptic number.

38933209225 is the 197315-th square number.

38933209225 is the 98658-th centered octagonal number.

It is an amenable number.

38933209225 is a deficient number, since it is larger than the sum of its proper divisors (14512758686).

38933209225 is an equidigital number, since it uses as much as digits as its factorization.

38933209225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 244 (or 122 counting only the distinct ones).

The product of its (nonzero) digits is 699840, while the sum is 46.

The spelling of 38933209225 in words is "thirty-eight billion, nine hundred thirty-three million, two hundred nine thousand, two hundred twenty-five".