12500805249 has 63 divisors (see below), whose sum is σ = 19403011417. Its totient is φ = 8050104000.

The previous prime is 12500805203. The next prime is 12500805287. The reversal of 12500805249 is 94250800521.

The square root of 12500805249 is 111807.

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

12500805249 is a `hidden beast` number, since 1 + 2 + 50 + 0 + 80 + 524 + 9 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 6036849 + 12494768400 = 2457^2 + 111780^2 .

It is not a de Polignac number, because 12500805249 - 2²¹ = 12498708097 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (12500805949) by changing a digit.

It is a polite number, since it can be written in 62 ways as a sum of consecutive naturals, for example, 123770299 + ... + 123770399.

Almost surely, 2^12500805249 is an apocalyptic number.

12500805249 is the 111807-th square number.

12500805249 is the 55904-th centered octagonal number.

It is an amenable number.

12500805249 is a deficient number, since it is larger than the sum of its proper divisors (6902206168).

12500805249 is an frugal number, since it uses more digits than its factorization.

12500805249 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 302 (or 145 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 36.

Multiplying 12500805249 by its sum of digits (36), we get a square (450028988964 = 670842²).

The spelling of 12500805249 in words is "twelve billion, five hundred million, eight hundred five thousand, two hundred forty-nine".