11630180193025 has 27 divisors (see below), whose sum is σ = 14501384462019. Its totient is φ = 9252839526000.

The previous prime is 11630180193011. The next prime is 11630180193089. The reversal of 11630180193025 is 52039108103611.

The square root of 11630180193025 is 3410305.

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., 4186864869489 + 7443315323536 = 2046183^2 + 2728244^2 .

It is not a de Polignac number, because 11630180193025 - 2²¹ = 11630178095873 is a prime.

It is a super-2 number, since 2×11630180193025² (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is an unprimeable number.

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 26 ways as a sum of consecutive naturals, for example, 3256839490 + ... + 3256843060.

Almost surely, 2^{11630180193025} is an apocalyptic number.

11630180193025 is the 3410305-th square number.

11630180193025 is the 1705153-rd centered octagonal number.

It is an amenable number.

11630180193025 is a deficient number, since it is larger than the sum of its proper divisors (2871204268994).

11630180193025 is an frugal number, since it uses more digits than its factorization.

11630180193025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7534 (or 3767 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 40.

Adding to 11630180193025 its reverse (52039108103611), we get a palindrome (63669288296636).

The spelling of 11630180193025 in words is "eleven trillion, six hundred thirty billion, one hundred eighty million, one hundred ninety-three thousand, twenty-five".