189072780625 has 15 divisors (see below), whose sum is σ = 236278931383. Its totient is φ = 151249528000.

The previous prime is 189072780581. The next prime is 189072780649. The reversal of 189072780625 is 526087270981.

The square root of 189072780625 is 434825.

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 181345667409 + 7727113216 = 425847^2 + 87904^2 .

It is not a de Polignac number, because 189072780625 - 2¹³ = 189072772433 is a prime.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 10861929 + ... + 10879321.

Almost surely, 2^189072780625 is an apocalyptic number.

189072780625 is the 434825-th square number.

189072780625 is the 217413-rd centered octagonal number.

It is an amenable number.

189072780625 is a deficient number, since it is larger than the sum of its proper divisors (47206150758).

189072780625 is an frugal number, since it uses more digits than its factorization.

189072780625 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34806 (or 17398 counting only the distinct ones).

The product of its (nonzero) digits is 3386880, while the sum is 55.

The spelling of 189072780625 in words is "one hundred eighty-nine billion, seventy-two million, seven hundred eighty thousand, six hundred twenty-five".