2891431577257 has 2 divisors, whose sum is σ = 2891431577258. Its totient is φ = 2891431577256.

The previous prime is 2891431577231. The next prime is 2891431577341. The reversal of 2891431577257 is 7527751341982.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 2891431577241 + 16 = 1700421^2 + 4^2 .

It is a cyclic number.

It is not a de Polignac number, because 2891431577257 - 2¹⁵ = 2891431544489 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 2891431577195 and 2891431577204.

It is not a weakly prime, because it can be changed into another prime (2891431577227) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1445715788628 + 1445715788629.

It is an arithmetic number, because the mean of its divisors is an integer number (1445715788629).

Almost surely, 2^{2891431577257} is an apocalyptic number.

It is an amenable number.

2891431577257 is a deficient number, since it is larger than the sum of its proper divisors (1).

2891431577257 is an equidigital number, since it uses as much as digits as its factorization.

2891431577257 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 29635200, while the sum is 61.

The spelling of 2891431577257 in words is "two trillion, eight hundred ninety-one billion, four hundred thirty-one million, five hundred seventy-seven thousand, two hundred fifty-seven".