2057741253 has 48 divisors (see below), whose sum is σ = 3227043456. Its totient is φ = 1307845440.

The previous prime is 2057741237. The next prime is 2057741261. The reversal of 2057741253 is 3521477502.

2057741253 is a `hidden beast` number, since 20 + 577 + 4 + 12 + 53 = 666.

It is not a de Polignac number, because 2057741253 - 2⁴ = 2057741237 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2057731253) 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 in 47 ways as a sum of consecutive naturals, for example, 3112743 + ... + 3113403.

It is an arithmetic number, because the mean of its divisors is an integer number (67230072).

Almost surely, 2^2057741253 is an apocalyptic number.

2057741253 is a gapful number since it is divisible by the number (23) formed by its first and last digit.

It is an amenable number.

2057741253 is a deficient number, since it is larger than the sum of its proper divisors (1169302203).

2057741253 is an equidigital number, since it uses as much as digits as its factorization.

2057741253 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1256 (or 1244 counting only the distinct ones).

The product of its (nonzero) digits is 58800, while the sum is 36.

The square root of 2057741253 is about 45362.3329757190. The cubic root of 2057741253 is about 1271.9311049816.

The spelling of 2057741253 in words is "two billion, fifty-seven million, seven hundred forty-one thousand, two hundred fifty-three".