541677681 has 12 divisors (see below), whose sum is σ = 828448452. Its totient is φ = 339876096.

The previous prime is 541677677. The next prime is 541677709. The reversal of 541677681 is 186776145.

It can be written as a sum of positive squares in 2 ways, for example, as 298598400 + 243079281 = 17280^2 + 15591^2 .

It is not a de Polignac number, because 541677681 - 2² = 541677677 is a prime.

It is a super-2 number, since 2×541677681² = 586829420187075522, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (541677611) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1770036 + ... + 1770341.

It is an arithmetic number, because the mean of its divisors is an integer number (69037371).

Almost surely, 2^541677681 is an apocalyptic number.

541677681 is a gapful number since it is divisible by the number (51) formed by its first and last digit.

It is an amenable number.

541677681 is a deficient number, since it is larger than the sum of its proper divisors (286770771).

541677681 is a wasteful number, since it uses less digits than its factorization.

541677681 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3540400 (or 3540397 counting only the distinct ones).

The product of its digits is 282240, while the sum is 45.

The square root of 541677681 is about 23273.9700309165. The cubic root of 541677681 is about 815.1677329253.

The spelling of 541677681 in words is "five hundred forty-one million, six hundred seventy-seven thousand, six hundred eighty-one".