2057085461349 has 24 divisors (see below), whose sum is σ = 3043094984280. Its totient is φ = 1338543378432.

The previous prime is 2057085461339. The next prime is 2057085461351. The reversal of 2057085461349 is 9431645807502.

It is a happy number.

2057085461349 is a `hidden beast` number, since 2 + 0 + 5 + 70 + 85 + 461 + 34 + 9 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 300249202500 + 1756836258849 = 547950^2 + 1325457^2 .

It is not a de Polignac number, because 2057085461349 - 2⁵ = 2057085461317 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 2057085461295 and 2057085461304.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2057085461339) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 11080344 + ... + 11264465.

It is an arithmetic number, because the mean of its divisors is an integer number (126795624345).

It is a 1-persistent number, because it is pandigital, but 2⋅2057085461349 = 4114170922698 is not.

Almost surely, 2^{2057085461349} is an apocalyptic number.

It is an amenable number.

2057085461349 is a deficient number, since it is larger than the sum of its proper divisors (986009522931).

2057085461349 is a wasteful number, since it uses less digits than its factorization.

2057085461349 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22345061 (or 22345058 counting only the distinct ones).

The product of its (nonzero) digits is 7257600, while the sum is 54.

The spelling of 2057085461349 in words is "two trillion, fifty-seven billion, eighty-five million, four hundred sixty-one thousand, three hundred forty-nine".