10540031441 has 2 divisors, whose sum is σ = 10540031442. Its totient is φ = 10540031440.

The previous prime is 10540031431. The next prime is 10540031449. The reversal of 10540031441 is 14413004501.

10540031441 is digitally balanced in base 2, 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., 6262348225 + 4277683216 = 79135^2 + 65404^2 .

It is a cyclic number.

It is not a de Polignac number, because 10540031441 - 2⁶ = 10540031377 is a prime.

It is a super-2 number, since 2×10540031441² (a number of 21 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (10540031449) 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 as a sum of consecutive naturals, namely, 5270015720 + 5270015721.

It is an arithmetic number, because the mean of its divisors is an integer number (5270015721).

Almost surely, 2^10540031441 is an apocalyptic number.

It is an amenable number.

10540031441 is a deficient number, since it is larger than the sum of its proper divisors (1).

10540031441 is an equidigital number, since it uses as much as digits as its factorization.

10540031441 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 960, while the sum is 23.

Adding to 10540031441 its reverse (14413004501), we get a palindrome (24953035942).

The spelling of 10540031441 in words is "ten billion, five hundred forty million, thirty-one thousand, four hundred forty-one".