2257105081 has 27 divisors (see below), whose sum is σ = 2890688367. Its totient is φ = 1755932640.

The previous prime is 2257105073. The next prime is 2257105099. The reversal of 2257105081 is 1805017522.

The square root of 2257105081 is 47509.

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

It can be written as a sum of positive squares in only one way, i.e., 65367225 + 2191737856 = 8085^2 + 46816^2 .

It is not a de Polignac number, because 2257105081 - 2³ = 2257105073 is a prime.

It is a super-2 number, since 2×2257105081² = 10189046693352033122, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (2257105481) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 3657885 + ... + 3658501.

Almost surely, 2^2257105081 is an apocalyptic number.

2257105081 is the 47509-th square number.

2257105081 is the 23755-th centered octagonal number.

It is an amenable number.

2257105081 is a deficient number, since it is larger than the sum of its proper divisors (633583286).

2257105081 is an frugal number, since it uses more digits than its factorization.

2257105081 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1270 (or 635 counting only the distinct ones).

The product of its (nonzero) digits is 5600, while the sum is 31.

The cubic root of 2257105081 is about 1311.7485500001.

The spelling of 2257105081 in words is "two billion, two hundred fifty-seven million, one hundred five thousand, eighty-one".