12515271762249 has 15 divisors (see below), whose sum is σ = 18695700441847. Its totient is φ = 8343493282008.

The previous prime is 12515271762247. The next prime is 12515271762281. The reversal of 12515271762249 is 94226717251521.

The square root of 12515271762249 is 3537693.

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

12515271762249 is a `hidden beast` number, since 1 + 2 + 5 + 1 + 5 + 2 + 7 + 1 + 7 + 622 + 4 + 9 = 666.

It can be written as a sum of positive squares in only one way, i.e., 1483122087225 + 11032149675024 = 1217835^2 + 3321468^2 .

It is not a de Polignac number, because 12515271762249 - 2¹ = 12515271762247 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 12515271762195 and 12515271762204.

It is not an unprimeable number, because it can be changed into a prime (12515271762247) by changing a digit.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 31642699 + ... + 32035775.

Almost surely, 2^{12515271762249} is an apocalyptic number.

12515271762249 is the 3537693-rd square number.

12515271762249 is the 1768847-th centered octagonal number.

It is an amenable number.

12515271762249 is a deficient number, since it is larger than the sum of its proper divisors (6180428679598).

12515271762249 is an frugal number, since it uses more digits than its factorization.

12515271762249 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 786166 (or 393080 counting only the distinct ones).

The product of its digits is 4233600, while the sum is 54.

The spelling of 12515271762249 in words is "twelve trillion, five hundred fifteen billion, two hundred seventy-one million, seven hundred sixty-two thousand, two hundred forty-nine".