2591346681257 has 6 divisors (see below), whose sum is σ = 2752745436798. Its totient is φ = 2438914523264.

The previous prime is 2591346681173. The next prime is 2591346681263. The reversal of 2591346681257 is 7521866431952.

It can be written as a sum of positive squares in 3 ways, for example, as 1578191700121 + 1013154981136 = 1256261^2 + 1006556^2 .

It is not a de Polignac number, because 2591346681257 - 2¹⁸ = 2591346419113 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 2591346681196 and 2591346681205.

It is not an unprimeable number, because it can be changed into a prime (2591346611257) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 4483298468 + ... + 4483299045.

It is an arithmetic number, because the mean of its divisors is an integer number (458790906133).

Almost surely, 2^{2591346681257} is an apocalyptic number.

It is an amenable number.

2591346681257 is a deficient number, since it is larger than the sum of its proper divisors (161398755541).

2591346681257 is an equidigital number, since it uses as much as digits as its factorization.

2591346681257 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8966597547 (or 8966597530 counting only the distinct ones).

The product of its digits is 21772800, while the sum is 59.

The spelling of 2591346681257 in words is "two trillion, five hundred ninety-one billion, three hundred forty-six million, six hundred eighty-one thousand, two hundred fifty-seven".