31137036123249 has 27 divisors (see below), whose sum is σ = 52318890246987. Its totient is φ = 17792525109744.

The previous prime is 31137036123227. The next prime is 31137036123253. The reversal of 31137036123249 is 94232163073113.

The square root of 31137036123249 is 5580057.

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

31137036123249 is a `hidden beast` number, since 3 + 1 + 1 + 3 + 7 + 0 + 3 + 612 + 3 + 24 + 9 = 666.

It can be written as a sum of positive squares in only one way, i.e., 30428186630625 + 708849492624 = 5516175^2 + 841932^2 .

It is not a de Polignac number, because 31137036123249 - 2¹⁹ = 31137035598961 is a prime.

It is not an unprimeable number, because it can be changed into a prime (31137036123649) 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, 117048339 + ... + 117314055.

Almost surely, 2^{31137036123249} is an apocalyptic number.

31137036123249 is the 5580057-th square number.

31137036123249 is the 2790029-th centered octagonal number.

It is an amenable number.

31137036123249 is a deficient number, since it is larger than the sum of its proper divisors (21181854123738).

31137036123249 is an frugal number, since it uses more digits than its factorization.

31137036123249 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 531454 (or 265727 counting only the distinct ones).

The product of its (nonzero) digits is 489888, while the sum is 45.

The spelling of 31137036123249 in words is "thirty-one trillion, one hundred thirty-seven billion, thirty-six million, one hundred twenty-three thousand, two hundred forty-nine".