1925480938689 has 81 divisors (see below), whose sum is σ = 3556783387521. Its totient is φ = 1000083324240.

The previous prime is 1925480938663. The next prime is 1925480938729. The reversal of 1925480938689 is 9868390845291.

The square root of 1925480938689 is 1387617.

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

1925480938689 is a `hidden beast` number, since 1 + 92 + 5 + 4 + 80 + 9 + 386 + 89 = 666.

It is not a de Polignac number, because 1925480938689 - 2¹⁷ = 1925480807617 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (1925480938189) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 320536524 + ... + 320542530.

Almost surely, 2^{1925480938689} is an apocalyptic number.

1925480938689 is the 1387617-th square number.

1925480938689 is the 693809-th centered octagonal number.

It is an amenable number.

1925480938689 is a deficient number, since it is larger than the sum of its proper divisors (1631302448832).

1925480938689 is an frugal number, since it uses more digits than its factorization.

1925480938689 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12056 (or 6028 counting only the distinct ones).

The product of its (nonzero) digits is 268738560, while the sum is 72.

The spelling of 1925480938689 in words is "one trillion, nine hundred twenty-five billion, four hundred eighty million, nine hundred thirty-eight thousand, six hundred eighty-nine".