2547849249257 has 16 divisors (see below), whose sum is σ = 2769908912400. Its totient is φ = 2329540964352.

The previous prime is 2547849249221. The next prime is 2547849249293. The reversal of 2547849249257 is 7529429487452.

2547849249257 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (2547849249221) and next prime (2547849249293).

It can be written as a sum of positive squares in 8 ways, for example, as 970059527056 + 1577789722201 = 984916^2 + 1256101^2 .

It is a cyclic number.

It is not a de Polignac number, because 2547849249257 - 2⁶ = 2547849249193 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (2547849249217) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1715633 + ... + 2835329.

It is an arithmetic number, because the mean of its divisors is an integer number (173119307025).

Almost surely, 2^{2547849249257} is an apocalyptic number.

It is an amenable number.

2547849249257 is a deficient number, since it is larger than the sum of its proper divisors (222059663143).

2547849249257 is a wasteful number, since it uses less digits than its factorization.

2547849249257 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1121372.

The product of its digits is 406425600, while the sum is 68.

The spelling of 2547849249257 in words is "two trillion, five hundred forty-seven billion, eight hundred forty-nine million, two hundred forty-nine thousand, two hundred fifty-seven".