2057816071081 has 9 divisors (see below), whose sum is σ = 2071233350949. Its totient is φ = 2044485178944.

The previous prime is 2057816071049. The next prime is 2057816071097. The reversal of 2057816071081 is 1801706187502.

The square root of 2057816071081 is 1434509.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 1252812342681 + 805003728400 = 1119291^2 + 897220^2 .

It is not a de Polignac number, because 2057816071081 - 2⁵ = 2057816071049 is a prime.

It is a super-2 number, since 2×2057816071081² (a number of 25 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (2057816071481) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 225213345 + ... + 225222481.

Almost surely, 2^{2057816071081} is an apocalyptic number.

2057816071081 is the 1434509-th square number.

2057816071081 is the 717255-th centered octagonal number.

It is an amenable number.

2057816071081 is a deficient number, since it is larger than the sum of its proper divisors (13417279868).

2057816071081 is an frugal number, since it uses more digits than its factorization.

2057816071081 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18588 (or 9294 counting only the distinct ones).

The product of its (nonzero) digits is 188160, while the sum is 46.

The spelling of 2057816071081 in words is "two trillion, fifty-seven billion, eight hundred sixteen million, seventy-one thousand, eighty-one".