2431006541 has 2 divisors, whose sum is σ = 2431006542. Its totient is φ = 2431006540.

The previous prime is 2431006483. The next prime is 2431006583. The reversal of 2431006541 is 1456001342.

2431006541 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., 2376172516 + 54834025 = 48746^2 + 7405^2 .

It is a cyclic number.

It is not a de Polignac number, because 2431006541 - 2¹⁰ = 2431005517 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 2431006541.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (2431006741) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1215503270 + 1215503271.

It is an arithmetic number, because the mean of its divisors is an integer number (1215503271).

Almost surely, 2^2431006541 is an apocalyptic number.

It is an amenable number.

2431006541 is a deficient number, since it is larger than the sum of its proper divisors (1).

2431006541 is an equidigital number, since it uses as much as digits as its factorization.

2431006541 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 2880, while the sum is 26.

The square root of 2431006541 is about 49305.2384742230. The cubic root of 2431006541 is about 1344.6070245827.

Adding to 2431006541 its reverse (1456001342), we get a palindrome (3887007883).

The spelling of 2431006541 in words is "two billion, four hundred thirty-one million, six thousand, five hundred forty-one".