19580125041 has 9 divisors (see below), whose sum is σ = 28283009209. Its totient is φ = 13053136836.

The previous prime is 19580124997. The next prime is 19580125087. The reversal of 19580125041 is 14052108591.

The square root of 19580125041 is 139929.

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

19580125041 is a `hidden beast` number, since 19 + 580 + 1 + 25 + 0 + 41 = 666.

It is a tau number, because it is divible by the number of its divisors (9).

It is not a de Polignac number, because 19580125041 - 2¹⁷ = 19579993969 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 19580124987 and 19580125005.

It is not an unprimeable number, because it can be changed into a prime (19580125441) by changing a digit.

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 8 ways as a sum of consecutive naturals, for example, 396466 + ... + 443108.

Almost surely, 2^19580125041 is an apocalyptic number.

19580125041 is the 139929-th square number.

19580125041 is the 69965-th centered octagonal number.

It is an amenable number.

19580125041 is a deficient number, since it is larger than the sum of its proper divisors (8702884168).

19580125041 is an frugal number, since it uses more digits than its factorization.

19580125041 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 93292 (or 46646 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 36.

Multiplying 19580125041 by its sum of digits (36), we get a square (704884501476 = 839574²).

Multiplying 19580125041 by its product of nonzero digits (14400), we get a square (281953800590400 = 16791480²).

The spelling of 19580125041 in words is "nineteen billion, five hundred eighty million, one hundred twenty-five thousand, forty-one".