2187372966529 has 27 divisors (see below), whose sum is σ = 2248746750147. Its totient is φ = 2127668144016.

The previous prime is 2187372966469. The next prime is 2187372966533. The reversal of 2187372966529 is 9256692737812.

The square root of 2187372966529 is 1478977.

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., 1989750042225 + 197622924304 = 1410585^2 + 444548^2 .

It is not a de Polignac number, because 2187372966529 - 2¹⁵ = 2187372933761 is a prime.

It is a super-3 number, since 3×2187372966529³ (a number of 38 digits) contains 333 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (2187372966599) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 12643774287 + ... + 12643774459.

Almost surely, 2^{2187372966529} is an apocalyptic number.

2187372966529 is the 1478977-th square number.

2187372966529 is the 739489-th centered octagonal number.

It is an amenable number.

2187372966529 is a deficient number, since it is larger than the sum of its proper divisors (61373783618).

2187372966529 is an frugal number, since it uses more digits than its factorization.

2187372966529 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 718 (or 359 counting only the distinct ones).

The product of its digits is 137168640, while the sum is 67.

The spelling of 2187372966529 in words is "two trillion, one hundred eighty-seven billion, three hundred seventy-two million, nine hundred sixty-six thousand, five hundred twenty-nine".