1189135725625 has 45 divisors (see below), whose sum is σ = 1516352142459. Its totient is φ = 932225268000.

The previous prime is 1189135725623. The next prime is 1189135725683. The reversal of 1189135725625 is 5265275319811.

The square root of 1189135725625 is 1090475.

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

It can be written as a sum of positive squares in 7 ways, for example, as 659832914601 + 529302811024 = 812301^2 + 727532^2 .

It is not a de Polignac number, because 1189135725625 - 2¹ = 1189135725623 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1189135725623) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 1444878964 + ... + 1444879786.

Almost surely, 2^{1189135725625} is an apocalyptic number.

1189135725625 is the 1090475-th square number.

1189135725625 is the 545238-th centered octagonal number.

It is an amenable number.

1189135725625 is a deficient number, since it is larger than the sum of its proper divisors (327216416834).

1189135725625 is an frugal number, since it uses more digits than its factorization.

1189135725625 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1772 (or 881 counting only the distinct ones).

The product of its digits is 4536000, while the sum is 55.

The spelling of 1189135725625 in words is "one trillion, one hundred eighty-nine billion, one hundred thirty-five million, seven hundred twenty-five thousand, six hundred twenty-five".