10541477 has 2 divisors, whose sum is σ = 10541478. Its totient is φ = 10541476.

The previous prime is 10541449. The next prime is 10541483. The reversal of 10541477 is 77414501.

10541477 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 9523396 + 1018081 = 3086^2 + 1009^2 .

It is a cyclic number.

It is not a de Polignac number, because 10541477 - 2⁸ = 10541221 is a prime.

It is a super-3 number, since 3×10541477³ (a number of 22 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10541497) 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 as a sum of consecutive naturals, namely, 5270738 + 5270739.

It is an arithmetic number, because the mean of its divisors is an integer number (5270739).

Almost surely, 2^10541477 is an apocalyptic number.

It is an amenable number.

10541477 is a deficient number, since it is larger than the sum of its proper divisors (1).

10541477 is an equidigital number, since it uses as much as digits as its factorization.

10541477 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 3920, while the sum is 29.

The square root of 10541477 is about 3246.7640813585. The cubic root of 10541477 is about 219.2639104162.

Adding to 10541477 its reverse (77414501), we get a palindrome (87955978).

The spelling of 10541477 in words is "ten million, five hundred forty-one thousand, four hundred seventy-seven".