51682540549249 has 7 divisors (see below), whose sum is σ = 51951720447943. Its totient is φ = 51414755365056.

The previous prime is 51682540549153. The next prime is 51682540549319. The reversal of 51682540549249 is 94294504528615.

The square root of 51682540549249 is 7189057.

The cubic root of 51682540549249 is 37249.

It is a perfect power (a square, a cube, a 6-th power), and thus also a powerful number.

It can be written as a sum of positive squares in 3 ways, for example, as 51645279196225 + 37261353024 = 7186465^2 + 193032^2 .

It is not a de Polignac number, because 51682540549249 - 2¹³ = 51682540541057 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (51682540549349) by changing a digit.

It is a polite number, since it can be written in 6 ways as a sum of consecutive naturals, for example, 267785184097 + ... + 267785184289.

Almost surely, 2^{51682540549249} is an apocalyptic number.

51682540549249 is the 7189057-th square number.

51682540549249 is the 3594529-th centered octagonal number.

It is an amenable number.

51682540549249 is a deficient number, since it is larger than the sum of its proper divisors (269179898694).

51682540549249 is an frugal number, since it uses more digits than its factorization.

51682540549249 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1158 (or 193 counting only the distinct ones).

The product of its (nonzero) digits is 124416000, while the sum is 64.

The spelling of 51682540549249 in words is "fifty-one trillion, six hundred eighty-two billion, five hundred forty million, five hundred forty-nine thousand, two hundred forty-nine".